The generator matrix
1 1 1 1 1 1 1 1 1 1
0 3 0 21 0 3 24 15 24 0
0 0 3 6 24 3 0 21 24 0
0 0 0 9 0 18 0 9 18 0
0 0 0 0 9 9 18 9 9 0
generates a code of length 10 over Z27 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+92x^12+144x^14+336x^15+864x^17+480x^18+15336x^20+608x^21+1152x^23+636x^24+32x^27+2x^30
The gray image is a code over GF(3) with n=90, k=9 and d=36.
This code was found by Heurico 1.16 in 0.0974 seconds.