The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  1  1  2  1  1  1  1  1  8  1  1  1  1  1  1  0  1  0  1  1  2  1  1  1  1  1  2  1  1  2  1  1  1  4  8  1  1  1  2  1  1  1  2  2  1  1  2  1  1  1  1  2  1  1  2  2  1
 0  2  0  6  0 14 10  8  6  8  2  8  0  6  8  2  4  6  2  4 10 12  2  4 14 14  0 12  0 14  2 14  6  6  8 12 14  8 12  2 14 12  6 14 10 12  2 14  2  2  4 14 12  0  8  2 12  6 14  2  2 14  6  6  2  2 14  0  2 14 10  4  2  6  2  6  0 10 12 10  6 10  0 14 12 14  6  0
 0  0 12  0  0  0  0  4  4  8  4  4  8  4 12  4  4  0  8  0 12  4  0  8 12 12  0  4 12  4  8  4  8  0  0  4  4  0 12  4  0  8  8 12  8  8  4  4 12 12  0  8 12 12  8 12  0 12  0 12  8  8  8  8 12  8  8  4  8  0  4  4  4  0 12  4  8 12  0  4 12  8 12  0  4  4  0  4
 0  0  0 12  0  8 12  0 12  4 12 12  4  0 12  8 12  4 12  4  0  4  8 12  4  8  8  0  0  4  4 12  0 12  0 12  8  4  0  0 12  8  4 12  8  4  4  0  8  4  8 12 12  8  8  4 12  8  0  8  8 12  4  0 12  0  4 12  8 12  8  4 12  0  8  4 12  0  0  0 12  0  0  0  0  8 12  8
 0  0  0  0 12 12  4 12  8  0 12  4 12 12  8  0 12  4  0  8  4  8  8  4  0  0 12  8 12 12  0  4 12 12  8  0  4  8  8  0  8  4  4  8  4  4  0  8 12  0 12  8 12  0  0  4  0  4  0  8 12  4  0  4  4  0 12 12  8  8  8  4  4  4  0  4  0  4  8  8  4 12  0 12  4  8  4  8

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

Homogenous weight enumerator: w(x)=1x^0+47x^80+154x^81+249x^82+332x^83+428x^84+618x^85+792x^86+968x^87+1129x^88+996x^89+804x^90+606x^91+357x^92+232x^93+173x^94+122x^95+72x^96+36x^97+17x^98+16x^99+6x^100+10x^101+10x^102+2x^103+7x^104+2x^105+2x^106+2x^107+1x^110+1x^140

The gray image is a code over GF(2) with n=704, k=13 and d=320.
This code was found by Heurico 1.16 in 2.51 seconds.