The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+178x^74+296x^75+940x^76+1284x^77+2283x^78+2492x^79+3586x^80+3520x^81+4194x^82+3352x^83+3670x^84+2388x^85+1858x^86+980x^87+800x^88+408x^89+252x^90+104x^91+78x^92+16x^93+51x^94+8x^95+9x^96+12x^98+4x^100+4x^102

The gray image is a code over GF(2) with n=656, k=15 and d=296.
This code was found by Heurico 1.16 in 18.3 seconds.