The generator matrix
1 1 1 1 1 1 1 1 1 X X 0 1 1
0 X 2X 6 X+3 2X+6 3 X+6 2X+3 X+3 2X X 0 6
generates a code of length 14 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 26.
Homogenous weight enumerator: w(x)=1x^0+54x^26+14x^27+54x^28+108x^29+6x^30+6x^33
The gray image is a code over GF(3) with n=126, k=5 and d=78.
This code was found by Heurico 1.16 in 0.000534 seconds.