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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+129x^82+132x^84+293x^86+215x^88+155x^90+31x^92+55x^94+3x^96+8x^98+1x^100+1x^160

The gray image is a code over GF(2) with n=348, k=10 and d=164.
This code was found by Heurico 1.16 in 57.9 seconds.