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  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  2  1  1  2  4  1  1  4  1  8  1  4  1  1  2  1  1  2  2  0  2  1  1
 0 12  0  0  0  4 12  4  8 12  8 12  0  4  8 12  0 12  0 12  8  0 12  4  0  0  8  4  8 12  4 12  0  0  4  4 12  8  4  0  4  0  8  8 12  8  8  4 12 12  8  4  4  8  8  8  0  0  0 12 12  8  0  0 12  4  0  8  4  4  0  0 12  0 12  0 12
 0  0 12  0  4  4  4  8  0  4  8  4  4  0 12  8  0 12 12  0  0 12 12  8  0 12  8  8 12 12 12  0  0  4 12  4  8  8 12  4  4  4  0  8  0  0  4  8 12  4  8  8 12  0 12 12 12 12 12 12  4 12  8  4  4 12  8  0  8 12  4 12  0  0  0  8 12
 0  0  0 12  4  0  4  4  8  0 12  4  4  4  8  8  8  8  4  4  4  0 12  0  0  8  4  4  4  8 12  8  0 12  8  0  8 12  4 12  0  0 12 12  8  8  4  8  0  8  8 12  4  0  4  0  4  8  8 12  8 12  0  4  4  0  4 12  8  8 12  8  4  4  0  0  8
 0  0  0  0  8  0  0  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  0  8  0  8  0  8  8  0  0  0  0  0  8  0  8  8  0  8  8  0  0  0  0  8  8  8  0  0  8  0  0  0  8  8  8  8  0  0  0  8  8  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  8  0  8  0  8  8  8  8  8  0  0  8  8  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  8  0  8  8  8  8  8  0  8  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  0  0  8

generates a code of length 77 over Z16 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+133x^70+4x^71+193x^72+84x^73+322x^74+384x^75+692x^76+616x^77+674x^78+356x^79+263x^80+68x^81+120x^82+24x^83+61x^84+43x^86+30x^88+18x^90+7x^92+2x^94+1x^128

The gray image is a code over GF(2) with n=616, k=12 and d=280.
This code was found by Heurico 1.16 in 15.7 seconds.