The generator matrix

 1  0  0  0  1  1  1  1  1
 0  1  0  0  0  1  3  1  7
 0  0  1  0  1  1  6  4  6
 0  0  0  1  8  0  5  5  6
 0  0  0  0  6  3  3  0  6

generates a code of length 9 over Z9 who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+270x^11+252x^12+1512x^14+1368x^15+5508x^17+3102x^18+5238x^20+1800x^21+594x^23+36x^24+2x^27

The gray image is a code over GF(3) with n=27, k=9 and d=11.
This code was found by Heurico 1.13 in 25.9 seconds.