The generator matrix

 1  0  0  1  1  1  6  1  1  1  1  4  2  0  1  1  1  1  0  1  0  6  1  1  6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  6  1  3  1  1  0  0  2  5  3  1  4  0  1  2  6  1  4  3  2  1  4  4  4  0  0  5  0  6  0  5  0  4  0  2  1  0  0  0  2  1  0  0  0  0  0  0  5  0  0  2  0  4  0  2  0  0  4  2  0  0  0  2  4  0  0  0  4  2  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  1  1  1  0  1  0  1  1  0  0  1  1  0  1  1  0  0  0  1  1  1  1  1  0  0  1  1  0  0  0  0  0  3  0  1  0  1  2  0  0  1  1  2  0  0  1  1  2  0  0  2  3  0  1  0  0  0  0  4  2  2  0  0  6  2  0  0  0  0  4  0  0  0  6  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  2  0  0  6  0  0  2  0  0  2  0  2  2  0  0  2  2  0  2  0  4  2  2  0  0  2  2  2  0  2  0  2  2  0  0  4  2  0  0  0  4  2  0  0  0  4  2  0  0  2  0  0  4  0  0  2  0  4  2  0  0  0  2  0  0  4  0  2  0  0  0  0  2  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  2  0  6  0  0  0  2  2  2  2  2  2  0  2  2  6  2  0  0  6  2  0  0  2  2  2  0  2  0  2  0  0  0  6  4  0  0  0  4  4  0  0  0  4  4  0  0  0  0  0  4  4  0  0  0  0  0  0  0  0  4  0  0  0  4  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  2  6  0  2  2  2  0  0  2  0  0  2  6  0  6  2  4  0  0  2  4  0  2  0  2  0  0  2  2  2  2  2  6  2  0  2  0  4  0  0  0  0  4  0  0  0  0  0  4  4  2  0  0  0  4  4  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0
 0  0  0  0  0  0  4  4  4  0  0  0  4  4  0  4  0  4  0  4  0  4  0  4  0  4  4  4  4  0  0  4  4  4  4  0  0  0  4  0  4  0  0  0  4  0  0  0  0  0  4  0  0  4  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0

generates a code of length 96 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+30x^40+6x^42+13x^44+25x^46+4x^47+39x^48+28x^49+70x^50+24x^51+106x^52+16x^53+134x^54+52x^55+181x^56+72x^57+253x^58+116x^59+334x^60+248x^61+517x^62+304x^63+637x^64+332x^65+606x^66+420x^67+642x^68+380x^69+536x^70+416x^71+358x^72+260x^73+285x^74+200x^75+218x^76+124x^77+108x^78+48x^79+62x^80+32x^81+84x^82+92x^83+143x^84+148x^85+344x^86+304x^87+682x^88+684x^89+1376x^90+1624x^91+2752x^92+3320x^93+4736x^94+5108x^95+6218x^96+4964x^97+4822x^98+3488x^99+2780x^100+1536x^101+1412x^102+744x^103+642x^104+280x^105+310x^106+144x^107+154x^108+68x^109+80x^110+56x^111+72x^112+40x^113+96x^114+96x^115+196x^116+216x^117+320x^118+252x^119+408x^120+468x^121+475x^122+384x^123+629x^124+344x^125+688x^126+384x^127+521x^128+304x^129+488x^130+216x^131+380x^132+136x^133+313x^134+76x^135+183x^136+52x^137+128x^138+24x^139+118x^140+24x^141+49x^142+12x^143+32x^144+4x^145+37x^146+4x^147+12x^148+4x^150+7x^152+6x^156+2x^158+3x^160+1x^172

The gray image is a code over GF(2) with n=384, k=16 and d=80.
This code was found by Heurico 1.16 in 99 seconds.