The generator matrix

 1  0  0  0  0  1  1  1  1
 0  1  0  0  0  1  2  0  1
 0  0  1  0  0  1  3  5  0
 0  0  0  1  0  1  4  2  0
 0  0  0  0  1  2  1  6  0

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

Homogenous weight enumerator: w(x)=1x^0+78x^4+304x^5+1133x^6+3570x^7+6557x^8+9064x^9+7002x^10+3740x^11+1076x^12+216x^13+25x^14+2x^15

The gray image is a code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.11 in 0.078 seconds.