The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+129x^74+860x^75+1270x^76+2672x^77+2542x^78+3788x^79+3147x^80+4586x^81+3029x^82+3838x^83+2300x^84+2154x^85+1024x^86+752x^87+266x^88+204x^89+75x^90+66x^91+22x^92+10x^93+10x^94+8x^95+2x^96+6x^97+7x^98

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 13.8 seconds.