The generator matrix

 1  0  0  1  1  1  1  1  1
 0  1  0  1  6  7  4  4  2
 0  0  1  1  3  2  2  2  6
 0  0  0  4  0  0  4  4  4
 0  0  0  0  4  4  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+18x^5+68x^6+250x^7+318x^8+740x^9+312x^10+260x^11+64x^12+10x^13+4x^14+2x^15+1x^16

The gray image is a code over GF(2) with n=36, k=11 and d=10.
This code was found by Heurico 1.16 in 0.00361 seconds.