The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+154x^75+658x^76+1446x^77+2399x^78+2878x^79+3530x^80+3972x^81+3845x^82+3682x^83+3191x^84+2458x^85+1904x^86+1132x^87+704x^88+388x^89+195x^90+84x^91+67x^92+40x^93+15x^94+22x^95+2x^98+1x^104

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 13.4 seconds.