The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^74+332x^75+803x^76+1126x^77+1474x^78+1540x^79+2192x^80+1772x^81+2194x^82+1328x^83+1292x^84+824x^85+611x^86+318x^87+162x^88+108x^89+82x^90+50x^91+27x^92+10x^93+6x^94+14x^95+1x^96+2x^98+2x^99+2x^100+1x^102

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 4.71 seconds.