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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  2  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  4  0  0  0  0  0  0  0  4  4  4  4  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  4  4  4  4  0  0  4  4  0  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  4  4  0  4  4  0  4  4  4  4  0  0  0  0  4  4  0  0  4
 0  0  4  0  0  0  4  4  4  4  4  0  4  4  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  4  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  0  4  4  0  0  0  0  0  0  4  4  0  0  4  4
 0  0  0  4  0  4  4  4  0  0  0  0  4  4  4  4  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  0  4  4  0  4  4  0  0  0  4  4  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  4  0  0  0  0  4  4  0  0  4  4  4
 0  0  0  0  4  4  0  4  4  0  4  4  4  0  0  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  4  4  0  0  0  0  4  4  0  4  4  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  0  4  4  4  0  0  0  4  4  0  0  4  4  0  0  0  0  4  4

generates a code of length 88 over Z8 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+6x^86+30x^87+73x^88+9x^90+6x^92+2x^103+1x^146

The gray image is a code over GF(2) with n=352, k=7 and d=172.
This code was found by Heurico 1.16 in 0.291 seconds.