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

generates a code of length 87 over Z8 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+30x^85+6x^86+64x^87+9x^88+9x^90+6x^92+1x^114+2x^117

The gray image is a code over GF(2) with n=348, k=7 and d=170.
This code was found by Heurico 1.16 in 1.25 seconds.