The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^75+459x^76+448x^77+1063x^78+688x^79+1184x^80+768x^81+1079x^82+712x^83+799x^84+336x^85+402x^86+52x^87+55x^88+16x^89+40x^90+12x^91+17x^92+6x^94+4x^95+12x^96+1x^98+1x^108+1x^110

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 1.49 seconds.