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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+78x^76+390x^77+402x^78+670x^79+361x^80+550x^81+355x^82+438x^83+290x^84+368x^85+83x^86+66x^87+1x^88+6x^90+8x^91+4x^92+4x^93+12x^94+2x^95+4x^98+1x^102+1x^104+1x^106

The gray image is a code over GF(2) with n=648, k=12 and d=304.
This code was found by Heurico 1.16 in 0.703 seconds.