The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  8  1  1  4 12  1  1  1  2  2  1  1  1  2  1  4  1  2  1  8  1  4  2  1  2  4  2  1  1  2  1  0 12 12  2  2  2  1  0  1  0  2
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4 12  6 14  0  2  4 14  2 12  0  2 12 14  6  4  8  6  2  0 12  2  6 12  2  8 10 10  8 12 10  6 14 14  0  4  8 12  6  0  0 12  2 10 14  0  2  6 10  2 14  2  2  0  2 14 14 12  8  2  2 12  4
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14 14 12 10  2 14  0  6  4 12  4 14 12 10  8  2  6 14 10 12 10  8 10 14  4 12  2  6 12  8  4  2  0  2  0  2  0 12  6  0  8  8  2  6  6  0  8  0 10 10 14  8  2  4  2  6 14  0 14 10  2  6
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10 10  8 12 12  6  4  4 14  8  2  6  6  0 12  0  6  2  4  6 14  6  6  0 12  2  0 10 10 10 12  6  8  8  4  2  6  4  8  8  2 14 10  8  4  0 14 10 10 10  0 10 12  2 14 10 10  2  2  2  2 12  6

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

Homogenous weight enumerator: w(x)=1x^0+270x^75+438x^76+706x^77+707x^78+864x^79+907x^80+912x^81+829x^82+766x^83+505x^84+446x^85+245x^86+208x^87+117x^88+108x^89+59x^90+64x^91+29x^92+4x^93+4x^95+2x^96+1x^112

The gray image is a code over GF(2) with n=648, k=13 and d=300.
This code was found by Heurico 1.16 in 27.7 seconds.