The generator matrix

 1  1  1  1  1  1  1  1  1  1  X  1  X  1
 0  X  0 X+3 2X  0  X 2X+3 2X  6  6 2X  3 X+3
 0  0  X 2X+6  0 2X  X X+3 2X  3 2X+3  6 2X  0
 0  0  0  6  6  6  0  6  3  3  6  0  0  3

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

Homogenous weight enumerator: w(x)=1x^0+72x^22+144x^23+206x^24+258x^25+216x^26+738x^27+3222x^28+432x^29+744x^30+270x^31+180x^32+4x^33+66x^34+2x^36+6x^39

The gray image is a code over GF(3) with n=126, k=8 and d=66.
This code was found by Heurico 1.16 in 0.037 seconds.