The generator matrix

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

generates a code of length 81 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+149x^74+656x^75+1437x^76+2310x^77+2952x^78+3596x^79+3901x^80+3738x^81+3809x^82+3274x^83+2406x^84+1862x^85+1293x^86+696x^87+279x^88+192x^89+96x^90+34x^91+36x^92+24x^93+17x^94+3x^96+2x^97+2x^98+1x^100+2x^102

The gray image is a code over GF(2) with n=648, k=15 and d=296.
This code was found by Heurico 1.16 in 13.6 seconds.