The generator matrix

 1  0  1  1  1  0  0  1
 0  1  1  0  3  1  1  0
 0  0  2  6  0  0  4  0
 0  0  0  4  0  4  4  0
 0  0  0  0  4  4  4  0

generates a code of length 8 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+10x^4+60x^5+80x^6+196x^7+330x^8+196x^9+80x^10+60x^11+10x^12+1x^16

The gray image is a code over GF(2) with n=32, k=10 and d=8.
This code was found by Heurico 1.16 in 0.00121 seconds.