The generator matrix

 1  0  1  1  1  4  1  1  0  1  1  2  1  1  0  1  1  4  1  1  2  1  4  1  1  1  6  6  1  1  1  4  1  1  6  1  2  1  1  4  2  1  1  6  1  1  2  1  1  1  1  1  1  1  1  2  1  1  1  1  0  1  1  1  1  1  1  4  1  1  0  1  2  1  1  1  1  1  0  0  0  1  1  6  1  1
 0  1  1  0  3  1  1  0  1  2  5  1  0  7  1  0  5  1  0  1  1  6  1  1  4  7  1  1  2  7  6  1  7  2  1  5  1  2  2  1  1  0  2  1  3  1  0  7  7  3  1  3  3  5  5  4  3  5  7  7  2  1  1  7  7  1  1  2  4  4  1  2  0  4  4  2  6  4  0  4  2  0  6  1  4  2
 0  0  2  0  0  0  0  2  2  2  2  2  4  4  4  4  4  4  6  6  6  6  6  6  2  6  4  2  0  0  2  2  0  0  4  6  0  4  6  6  6  6  4  0  4  2  2  6  4  2  0  2  6  0  4  6  2  4  6  2  6  4  0  0  4  2  6  2  2  0  0  6  2  6  2  2  2  4  2  2  2  4  0  0  6  6
 0  0  0  2  4  2  6  2  2  4  6  4  4  0  4  6  2  6  6  2  0  0  6  4  0  0  4  2  6  2  2  0  4  0  2  2  6  4  6  4  6  4  2  0  0  6  6  4  6  0  2  2  2  0  0  2  4  6  6  6  2  4  4  6  2  4  0  6  2  2  2  0  0  2  4  2  6  2  4  4  4  0  0  2  0  0

generates a code of length 86 over Z8 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+228x^82+268x^84+208x^86+93x^88+136x^90+50x^92+16x^94+1x^96+16x^98+2x^100+4x^114+1x^120

The gray image is a code over GF(2) with n=344, k=10 and d=164.
This code was found by Heurico 1.16 in 59.3 seconds.