The generator matrix

 1  0  0  0  1  1  1  1
 0  1  0  0  6  1  4  5
 0  0  1  0  7  1  5  3
 0  0  0  1  5  3  7  4

generates a code of length 8 over Z9 who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+96x^10+240x^11+92x^12+576x^13+792x^14+320x^15+1476x^16+1584x^17+296x^18+768x^19+300x^20+16x^21+4x^24

The gray image is a code over GF(3) with n=24, k=8 and d=10.
This code was found by Heurico 1.13 in 3.81e-009 seconds.