The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  X  X  1
 0  6  0  6  0  6  3  3  3  0  0  6  6  6
 0  0  6  3  3  6  0  6  3  0  6  3  6  0

generates a code of length 14 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+18x^25+14x^27+180x^28+6x^30+18x^31+6x^33

The gray image is a code over GF(3) with n=126, k=5 and d=75.
This code was found by Heurico 1.16 in 0.000523 seconds.