The generator matrix

 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  8  1  1  1  1  1  1  1  1  1  2 12  2  4  2  2  1 12  0  2  8  2  1  1  1  0 12 12  2  2 12  0 12 12  1  2  2  2  1  8  1  2  1  2  2  1  2  0 12  2  2  8
 0  2  0  0  0  2 14  2  4  2 10 12 12  2 14 12  8 12 12 14  4  6 10  6 10 10 10  8 14 12  4  2  0  0 12  6  4  0 10  6  2  2 12  2 12 12  6  2  2 12  2  6 10 12 14  4  2  0  6 12  2  2  2  2  6  6 14 14 14  2  4  0 12  0  8  0  8  0  2  2  8  2
 0  0  2  0  2  2  2  8 10  6 14  2  8 12 12  4 14 10  8  6  8  2  8 10 12  4  6  6  0  8  2  8 12  2  2 12 14 12  2  6 10 12 14 14 14  0  2 14  4 10 14  4  6  2 10  4  4  8 10  2 10 14 12 14 14 10 12 10  0  2 14 14 14  2  2  8 10  4  6 10  6  0
 0  0  0  2  2  0 10  2  8  8 14 14  6  0 14  4 12 10 14  0  0 14  4  0  8 14 10  0 12  4 10 14 10  0 14  6 10 10  6 12  6 12 12  4 14 10  2  8 12  2  0 10  8  8 10  2  2  2  6 12 10 14  0  8  8  8  4  6 10  4  0  0 12 10  4 12  8  2  2 14  0  4
 0  0  0  0  4  0  4  0  0 12  0  0  4 12  4  4  4  8  8  0  4  4  4 12  8 12  0  8  8  0 12 12  8 12 12  8 12  4  0  8  8  0  8  0 12  8  4  8  4  0 12 12  8 12  0  4  0 12  4  0 12  4  4  4 12  0 12  0  8  4  0  8  4  0  4 12  8 12 12  4 12  8
 0  0  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  8  0  8  8  0  8  0  0  8  8  8  0  0  0  0  8  8  8  8  8  0  0  0  0  8  0  0  8  8  8  8  0  0  8  0  0  0  0  8  0  0  8  0  0  8  0  8  0  0  0  0  8  0  0  8  8  0  0  8  0  8  0  8  0  8

generates a code of length 82 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+191x^72+492x^73+845x^74+1396x^75+2101x^76+2720x^77+3663x^78+5002x^79+6087x^80+6882x^81+7111x^82+6818x^83+6041x^84+4896x^85+3866x^86+2696x^87+1730x^88+1278x^89+711x^90+436x^91+306x^92+102x^93+82x^94+30x^95+15x^96+12x^97+9x^98+6x^99+8x^100+2x^101+1x^110

The gray image is a code over GF(2) with n=656, k=16 and d=288.
This code was found by Heurico 1.16 in 95.7 seconds.