The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+317x^74+1750x^75+3143x^76+5780x^77+8113x^78+10636x^79+12574x^80+15476x^81+15776x^82+15232x^83+13127x^84+11254x^85+7442x^86+5004x^87+2770x^88+1560x^89+537x^90+320x^91+150x^92+42x^93+37x^94+12x^95+10x^96+2x^98+6x^99+1x^104

The gray image is a code over GF(2) with n=656, k=17 and d=296.
This code was found by Heurico 1.16 in 202 seconds.