The generator matrix

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

generates a code of length 9 over Z8 who´s minimum homogenous weight is 5.

Homogenous weight enumerator: w(x)=1x^0+78x^5+326x^6+808x^7+1721x^8+2324x^9+1721x^10+808x^11+326x^12+78x^13+1x^18

The gray image is a code over GF(2) with n=36, k=13 and d=10.
This code was found by Heurico 1.11 in 0.0172 seconds.