The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  X
 0  X  0  6 2X X+3  X 2X+3 2X  6  0  X X+6 X+3
 0  0  X 2X+3  6 2X+3  X X+3 2X+6  6 X+6 X+6 2X+6 2X+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+104x^24+54x^25+240x^26+128x^27+1032x^28+384x^29+100x^30+42x^31+24x^32+70x^33+6x^34+2x^39

The gray image is a code over GF(3) with n=126, k=7 and d=72.
This code was found by Heurico 1.16 in 0.00479 seconds.