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

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+21x^72+72x^73+43x^74+212x^75+294x^76+278x^77+18x^78+60x^79+4x^80+16x^81+2x^82+2x^85+1x^130

The gray image is a code over GF(2) with n=608, k=10 and d=288.
This code was found by Heurico 1.16 in 0.299 seconds.