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

generates a code of length 78 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+42x^74+50x^75+187x^76+144x^77+213x^78+148x^79+121x^80+32x^81+63x^82+10x^83+11x^84+1x^86+1x^130

The gray image is a code over GF(2) with n=624, k=10 and d=296.
This code was found by Heurico 1.16 in 0.427 seconds.