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

generates a code of length 89 over Z8 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+140x^84+16x^86+402x^88+240x^90+163x^92+61x^96+1x^172

The gray image is a code over GF(2) with n=356, k=10 and d=168.
This code was found by Heurico 1.16 in 2.58 seconds.