The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+390x^74+1724x^75+2982x^76+4222x^77+6000x^78+6402x^79+8120x^80+6882x^81+8009x^82+6470x^83+5366x^84+3632x^85+2424x^86+1456x^87+801x^88+366x^89+163x^90+34x^91+42x^92+30x^93+6x^94+10x^95+4x^97

The gray image is a code over GF(2) with n=648, k=16 and d=296.
This code was found by Heurico 1.16 in 45.1 seconds.