The generator matrix

 1  0  1  1  1  4  2  1  1
 0  1  1  0  1  1  6  5  0
 0  0  2  0  0  4  2  2  0
 0  0  0  2  0  6  0  4  0
 0  0  0  0  2  4  6  2  0

generates a code of length 9 over Z8 who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+22x^4+78x^5+179x^6+476x^7+791x^8+948x^9+886x^10+464x^11+144x^12+78x^13+23x^14+4x^15+2x^16

The gray image is a code over GF(2) with n=36, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0122 seconds.