The generator matrix

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

generates a code of length 79 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+166x^75+612x^76+744x^77+586x^78+528x^79+422x^80+328x^81+194x^82+138x^83+122x^84+108x^85+66x^86+32x^87+41x^88+4x^89+2x^90+1x^92+1x^100

The gray image is a code over GF(2) with n=632, k=12 and d=300.
This code was found by Heurico 1.16 in 0.374 seconds.