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  2  2  1  1  1  1  2  1  1  1  1  1  8  1  1  1  1  1  1  1  2  2  1  1  2  2  1  1  1  4  1  1  2  4  1  1  4  1  2  1  2  2  4  1  2  1  4  1  2  2
 0 12  0  0  0  0  0  0  0  4 12 12  4  8  4  8  4 12 12  0  4 12  8 12  4  0  8 12  8 12  0 12  8 12  4  0 12  0  8  8 12  8  8  0  4  4  8  0  8  4  8 12  0 12 12  4  0  0  0  8 12  4 12 12  0  0 12  4 12  8  8  8 12 12  4  8 12  8  8  8  0  0
 0  0 12  0  0  0  4 12 12  4  4  0  8  0  4  8  8  8  4  8  8  0  0  4  4  4 12 12  4  0  4 12  4 12  4  4  8  0  4  0  0  0 12 12  0  4  8  8 12  8  4 12 12  8  4 12  4 12 12  8  4  8  0  8  0  8  0 12  4 12  0  0  0  0 12 12  0 12  4  8  0  8
 0  0  0 12  0  4  4  4  0  8  0  8 12  0  4 12  8 12 12  8 12  8  4  0 12  0  8  4  4 12 12  0 12 12  4 12 12  4 12 12  0  8  0 12  8  0  4  8  0 12  4  4  0  8  0  0  8  8 12  0  8  4  4  8 12 12  0 12  8 12  4  0  4  8  0  4 12  4  0 12  4  8
 0  0  0  0 12  4  8  4  4  0  4  4  0  0 12  8  8  4  8  4  0 12  4  8 12  8  4  8  4  4  0  4  4  0  8  8  8  8  4  4  8  0 12  4  4  4  8 12  0  4 12  8  0  0  8 12 12 12  0 12  0  0  0  8  0  4  0  4 12  0  4  8  8  8  0 12  4  0  0 12  4 12
 0  0  0  0  0  8  8  0  8  8  8  0  8  8  8  8  8  0  0  8  0  8  0  0  0  8  0  8  8  8  0  0  0  0  0  0  0  0  8  8  0  8  0  0  0  0  8  8  8  0  8  0  8  8  8  0  8  8  8  0  0  0  8  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  0  8  8  0

generates a code of length 82 over Z16 who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+72x^73+128x^74+142x^75+199x^76+224x^77+304x^78+518x^79+806x^80+1128x^81+1318x^82+1158x^83+794x^84+478x^85+226x^86+150x^87+145x^88+100x^89+76x^90+60x^91+57x^92+32x^93+26x^94+12x^95+8x^96+12x^97+2x^98+8x^99+5x^100+2x^101+1x^124

The gray image is a code over GF(2) with n=656, k=13 and d=292.
This code was found by Heurico 1.16 in 3.29 seconds.