The generator matrix

 1  0  0  0  0  1  1  1  2  0  1  1  1  0  1  1  0  2  1  1  1  1  0  2  1  2  2  2  2  1  0  1  1  0  1  1  0  2  2  2  0  1  2  1  1  1  1  1  1  1  0  2  0  1  1  1  1  1  1  0  2  1  2  0  1  0  2  0  2  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1  0  3  0  1  2  3  1  2  2  1  1  0  0  1  1  0  2  3  1  0  1  2  1  1  2  0  1  1  0  2  1  0  1  2  1  3  1  2  1  3  1  2  1  0  3  1  1  0  1  2  1  2  2  1  1  0
 0  0  1  0  0  0  1  1  1  1  3  2  0  0  3  1  1  0  2  2  2  3  0  2  3  1  1  3  1  2  1  2  3  2  2  1  1  2  1  2  3  3  2  2  2  1  1  3  3  2  2  0  2  3  3  2  0  1  1  1  2  1  2  1  1  1  0  3  1  0
 0  0  0  1  0  1  1  0  3  1  2  3  0  3  0  0  2  3  0  3  2  1  1  2  1  3  2  2  1  1  2  2  0  0  1  2  3  3  1  1  2  1  0  3  3  1  3  1  1  0  2  1  3  3  3  3  0  0  2  2  3  3  1  1  0  1  1  3  2  3
 0  0  0  0  1  1  0  1  1  2  2  0  3  1  0  3  3  0  3  1  2  1  1  3  2  2  0  0  1  2  1  2  1  1  0  3  3  1  1  2  1  0  1  1  2  3  1  3  2  0  1  1  0  0  0  0  3  2  2  1  0  1  0  3  0  1  0  2  0  3
 0  0  0  0  0  2  0  2  0  0  2  2  2  0  2  2  0  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  0  2  0  0  0  0  2  2  0  2  2  0  0  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  2  2  2  0
 0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  0  0  0  0  2  0  0  2  2  2  2  2  0  0  2  0  2  2  0  0  0  0  2  0  0  2  2  2  0  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  0  0  0  0  2  0  2  2  2

generates a code of length 70 over Z4 who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+72x^60+156x^61+173x^62+156x^63+228x^64+320x^65+236x^66+172x^67+256x^68+302x^69+215x^70+210x^71+213x^72+214x^73+232x^74+128x^75+164x^76+204x^77+107x^78+80x^79+67x^80+72x^81+44x^82+20x^83+20x^84+10x^85+17x^86+2x^87+3x^88+2x^89

The gray image is a code over GF(2) with n=140, k=12 and d=60.
This code was found by Heurico 1.16 in 2.62 seconds.