The generator matrix

 1  0  1  1  1  1  1 X+6  1  1  1  1  1  1
 0  1 2X+7  8 X+1 X+6 X+5  1 2X  7 2X+8  0 2X+7  3
 0  0  6  0  3  6  3  3  0  6  0  6  3  3

generates a code of length 14 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+40x^24+66x^25+510x^26+120x^27+246x^28+996x^29+130x^30+66x^31+6x^32+2x^33+2x^36+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 0.00304 seconds.