The generator matrix
1 1 1 1 1 1 1 1 1 X 1 1 1 1
0 6 0 0 6 0 6 6 3 6 0 0 6 6
0 0 6 0 3 6 3 6 3 0 0 6 6 3
0 0 0 6 3 3 0 3 3 6 3 6 0 3
generates a code of length 14 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 24.
Homogenous weight enumerator: w(x)=1x^0+30x^24+54x^26+20x^27+486x^28+108x^29+12x^30+6x^33+6x^36+6x^39
The gray image is a code over GF(3) with n=126, k=6 and d=72.
This code was found by Heurico 1.16 in 0.00129 seconds.