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

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

Homogenous weight enumerator: w(x)=1x^0+118x^73+336x^74+458x^75+820x^76+898x^77+1311x^78+1688x^79+1657x^80+2120x^81+1798x^82+1556x^83+1218x^84+756x^85+602x^86+318x^87+284x^88+174x^89+102x^90+56x^91+46x^92+26x^93+11x^94+18x^95+5x^96+4x^97+2x^99+1x^112

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 7.38 seconds.