The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+134x^75+787x^76+1330x^77+1614x^78+1828x^79+1941x^80+1924x^81+1710x^82+1684x^83+1246x^84+848x^85+610x^86+316x^87+186x^88+92x^89+63x^90+22x^91+15x^92+14x^93+10x^94+8x^96+1x^98

The gray image is a code over GF(2) with n=648, k=14 and d=300.
This code was found by Heurico 1.16 in 3.92 seconds.