The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^74+208x^75+760x^76+884x^77+1552x^78+1708x^79+2225x^80+1592x^81+2080x^82+1672x^83+1476x^84+900x^85+624x^86+188x^87+169x^88+16x^89+44x^90+18x^92+24x^94+16x^96+8x^98+5x^100+1x^108+1x^112

The gray image is a code over GF(2) with n=648, k=14 and d=296.
This code was found by Heurico 1.16 in 11.3 seconds.