The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4 2X+8  1  6 X+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+180x^26+86x^27+54x^28+360x^29+42x^30+6x^33

The gray image is a code over GF(3) with n=126, k=6 and d=78.
This code was found by Heurico 1.16 in 0.000664 seconds.