The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+200x^82+282x^84+240x^86+141x^88+54x^90+32x^92+40x^94+13x^96+8x^98+9x^100+2x^106+1x^108+1x^112

The gray image is a code over GF(2) with n=344, k=10 and d=164.
This code was found by Heurico 1.11 in 0.384 seconds.