The generator matrix

 1  0  1  1  1  6  1 12  1  1  1 10  1  1  8  1 14  1  1  1  4  1  1  2  1  1  0  1  6  1  1  1  0  6  1  1  1  1  1  4  2  4  1  1  2  1  2  1  1  4  1  1  8  6  1  1  1 12 10  1  1  1  1  1  1  1  1 12  6 12  0  1 12  1  1  1 10  1  8
 0  1 11  6  5  1  9  1 12  3 10  1 15  8  1 14  1 13  7  4  1  2  1  1  0  3  1  6  1 15 13  0  1  1  2 11  1  6  4  1  1  1  5  2  1  4 14  9 15  2  5  1  1  1  1 12 14  1  1 11 10 15  4  7 12  6  7  1  1  1  1 14  1  2 15 15  1  4  1
 0  0 12  0  0  8  0  8  8  8  8  0  8  4  4 12 12  4  4  4  4 12 12 12  0  8  0  0  0  8  4  4  4  4  4 12 12 12 12 12 12  0  8  0  0  0  8  8  4 12 12  0  8 12 12  8 12  0 12  4  0  8  4 12 12  0  0 12  0  8  0  8  8  8  4 12  4 12 12
 0  0  0  8  0  8  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  8  0  0  8  8  8  0  0  0  0  0  8  0  8  8  8  8  0  8  8  8  0  0  8  8  0  0  8  8  0  0  0  0  0  0  0  8  8  8  8  0  8  0  0  0  8  0  8  0  0  8  0  0  0  8  0  8
 0  0  0  0  8  8  8  8  8  0  8  0  0  0  8  0  8  8  0  8  0  8  8  0  8  8  8  8  8  8  0  8  0  8  0  8  0  8  0  8  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  8  0  8  8  0  0  0  8  0  8  0  8  0  0  8  8  8  0  0  8  0  8  8

generates a code of length 79 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+106x^74+300x^75+531x^76+476x^77+528x^78+424x^79+428x^80+424x^81+425x^82+236x^83+113x^84+60x^85+22x^86+5x^88+3x^90+5x^92+4x^94+2x^96+1x^100+2x^104

The gray image is a code over GF(2) with n=632, k=12 and d=296.
This code was found by Heurico 1.16 in 0.686 seconds.