The generator matrix
1 1 1 1 1 1 X 1 1 X 1 X 1 1
0 X 2X 0 X+6 2X X+6 0 X+6 2X 2X X+6 0 0
0 0 3 0 0 0 6 0 3 6 3 3 0 0
0 0 0 3 0 0 6 3 6 0 6 3 0 0
0 0 0 0 6 0 6 6 6 6 0 6 0 0
0 0 0 0 0 3 0 6 6 3 3 3 0 0
generates a code of length 14 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+186x^18+216x^21+162x^22+834x^24+972x^25+1458x^26+2162x^27+6318x^28+2916x^29+2376x^30+1296x^31+762x^33+24x^42
The gray image is a code over GF(3) with n=126, k=9 and d=54.
This code was found by Heurico 1.16 in 0.205 seconds.