The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+366x^73+1311x^74+3350x^75+6167x^76+10402x^77+15307x^78+21494x^79+25273x^80+31222x^81+30552x^82+33280x^83+26292x^84+21638x^85+15053x^86+9860x^87+5228x^88+2756x^89+1454x^90+620x^91+287x^92+138x^93+31x^94+34x^95+14x^96+4x^97+3x^98+2x^99+2x^100+2x^101+1x^110

The gray image is a code over GF(2) with n=656, k=18 and d=292.
This code was found by Heurico 1.16 in 736 seconds.