The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+160x^75+793x^76+1338x^77+2344x^78+3004x^79+3207x^80+4114x^81+3780x^82+3824x^83+3132x^84+2626x^85+1857x^86+1078x^87+727x^88+372x^89+197x^90+84x^91+62x^92+24x^93+11x^94+10x^95+13x^96+6x^97+3x^98+1x^100

The gray image is a code over GF(2) with n=656, k=15 and d=300.
This code was found by Heurico 1.16 in 13.8 seconds.