The generator matrix
1 1 1 1 1 1 1 1 1 1 X 1 1 1 1
0 6 0 0 0 0 6 3 3 0 6 0 6 6 3
0 0 6 0 0 6 3 0 3 0 6 6 3 0 3
0 0 0 6 0 3 3 6 0 6 6 3 6 3 6
0 0 0 0 6 3 3 3 3 3 3 0 0 3 3
generates a code of length 15 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+60x^24+40x^27+162x^28+1520x^30+324x^31+20x^33+40x^36+10x^39+10x^42
The gray image is a code over GF(3) with n=135, k=7 and d=72.
This code was found by Heurico 1.16 in 0.0929 seconds.