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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+116x^73+330x^74+570x^75+616x^76+904x^77+1412x^78+1570x^79+1776x^80+2062x^81+1968x^82+1456x^83+1163x^84+854x^85+543x^86+400x^87+199x^88+170x^89+105x^90+60x^91+49x^92+18x^93+23x^94+4x^95+4x^96+4x^97+2x^99+2x^102+2x^103+1x^114

The gray image is a code over GF(2) with n=648, k=14 and d=292.
This code was found by Heurico 1.16 in 7.18 seconds.