The generator matrix

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

generates a code of length 80 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+234x^74+72x^75+954x^76+456x^77+1179x^78+496x^79+1479x^80+496x^81+1150x^82+456x^83+900x^84+72x^85+204x^86+15x^88+6x^90+8x^92+5x^94+1x^96+6x^98+1x^108+1x^116

The gray image is a code over GF(2) with n=640, k=13 and d=296.
This code was found by Heurico 1.16 in 1.65 seconds.