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  0  1  1  1  1  2  1  0  2  1  1
 0  2  0  2  0  0  2  2  4  4  2  2  4  6  0  6  4  0  6  2  0  6  0  2  0  6  4  2  0  6  4  2  2  0  4  6  0  0  2  6  4  6  4  2  0  4  2  2  2  0  6  4  6  2  4  0  0  6  6  6  4  4  0  2  4  6  0  2  0  2  4  2  2  0  6  4  0  6  6  2  6  6  2  6  2  4
 0  0  2  2  0  6  2  0  2  4  2  4  6  2  0  0  2  0  2  4  0  4  6  2  4  0  2  6  6  4  0  2  6  0  2  4  4  6  6  0  6  2  0  0  2  4  0  2  6  4  0  4  6  0  2  0  2  2  4  6  6  0  2  4  6  4  0  2  6  6  4  4  4  2  0  2  4  6  2  6  4  6  0  4  6  2
 0  0  0  4  0  0  4  0  4  4  0  4  4  0  4  4  0  4  4  0  0  4  4  0  4  4  4  4  0  0  0  0  4  0  0  4  0  0  4  0  4  0  0  4  4  4  4  0  4  4  0  0  0  4  0  4  4  0  0  4  4  4  0  0  0  0  4  4  0  0  4  4  4  0  0  0  0  4  4  0  0  0  4  4  0  0
 0  0  0  0  4  0  4  4  4  4  0  4  0  4  0  0  4  4  0  4  4  4  0  0  0  0  4  4  4  0  0  4  0  0  0  0  4  0  4  4  4  0  0  4  4  4  4  4  0  4  4  4  0  0  4  0  0  4  0  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  0  0  0  0  0  0  4  0  4  4  0  4
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  4  4  4  0  4  4  0  4  0  0  0  0  4  0  4  4  4  0  0  4  0  4  0  0  4  4  4  0  4  0  4  4  0  0  4  4  4  0  4  0  0  0  4  4  4  4  4  4  4  0  4  0  4  4  0  0  0

generates a code of length 86 over Z8 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+66x^80+89x^82+16x^83+143x^84+112x^85+187x^86+112x^87+146x^88+16x^89+57x^90+56x^92+17x^94+3x^96+2x^98+1x^164

The gray image is a code over GF(2) with n=344, k=10 and d=160.
This code was found by Heurico 1.16 in 0.382 seconds.