The generator matrix

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

generates a code of length 14 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+366x^22+198x^23+2056x^24+2058x^25+7020x^26+7506x^27+15228x^28+13878x^29+7576x^30+2730x^31+288x^32+104x^33+30x^34+8x^36+2x^39

The gray image is a code over GF(3) with n=126, k=10 and d=66.
This code was found by Heurico 1.16 in 1.07 seconds.