The generator matrix

 1  0  1  1  1  0  2  1
 0  1  3  6  1  1  0  0
 0  0  4  0  0  0  4  0
 0  0  0  4  0  0  4  0
 0  0  0  0  4  0  4  0
 0  0  0  0  0  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+23x^4+48x^5+86x^6+208x^7+287x^8+208x^9+100x^10+48x^11+9x^12+6x^14

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 0.00105 seconds.