The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+91x^74+774x^75+1385x^76+2512x^77+2520x^78+4042x^79+3506x^80+3990x^81+3310x^82+3756x^83+2355x^84+2120x^85+1026x^86+680x^87+253x^88+206x^89+112x^90+62x^91+14x^92+20x^93+12x^94+14x^95+5x^96+1x^98+1x^104

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 13.2 seconds.