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  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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1  1  2  1  4  1  2
 0 12  0  4  0  0  4 12  8  0 12 12  8  0  4  4  0  4 12  0 12  8  0 12  0  4  4  0  8  4  0 12  8  4 12  8  8  4  4  0  8 12  0 12  8  8  4 12 12  0  0 12 12  0  4  8 12  4  8  4  8  0 12  8  8  0 12  8  0  4 12  0 12  8  8  0  0  8  4  8  8 12 12  4  0  0
 0  0 12  4  0 12  4  0  4  0  4  8  4  0 12  8  4  4  8  0  4 12  8  0  0  4  0 12  4 12  8  8  8  8 12  0 12  0  4  4  0 12 12  0  8  4 12  0 12  8  4  0 12  8  0 12  0  8 12  4  0  8 12 12  8 12  4  0 12 12 12  8  4  0 12  0 12  8  4  4 12  8  4 12  4  8
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  0  0  8  8  0  0  8  8  0  8  0  8  8  8  0  0  0  0  0  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  0  8  8  0  8  0  8  8  8  8  8  8
 0  0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  8  8  8  8  0  0  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  0  0  8  8  8  8  8  0  0  8  8  0  8  0  0  0  8  8  0  0  8  8  8  0  8  0  8  0  8  8  0  0  0  0  0  8  0  0  0  8  0  0  8  8  8  8  8
 0  0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  8  8  0  8  8  8  0  0  8  8  0  8  8  0  0  8  0  8  0  0  0  8  0  8  8  0  0  8  0  0  0  0  8  0  8  0  0  8  8  0  8  0  8

generates a code of length 86 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+65x^80+89x^82+16x^83+236x^84+112x^85+1025x^86+112x^87+229x^88+16x^89+83x^90+39x^92+19x^94+5x^96+1x^164

The gray image is a code over GF(2) with n=688, k=11 and d=320.
This code was found by Heurico 1.16 in 0.727 seconds.