The generator matrix

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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+348x^71+439x^72+760x^73+402x^74+498x^75+454x^76+448x^77+288x^78+238x^79+63x^80+92x^81+14x^82+18x^83+12x^85+2x^87+16x^89+1x^92+1x^96+1x^100

The gray image is a code over GF(2) with n=600, k=12 and d=284.
This code was found by Heurico 1.16 in 11.3 seconds.