The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+243x^80+900x^81+1798x^82+2788x^83+4444x^84+5072x^85+6494x^86+7364x^87+7540x^88+7312x^89+6770x^90+5536x^91+3898x^92+2400x^93+1450x^94+612x^95+491x^96+204x^97+74x^98+52x^99+39x^100+16x^101+16x^102+13x^104+2x^106+3x^108+4x^110

The gray image is a code over GF(2) with n=704, k=16 and d=320.
This code was found by Heurico 1.16 in 58.4 seconds.