The generator matrix
1 1 1 1 1 1 1 1 1 1 X 1 X 1
0 X 0 X+6 2X 0 X 2X+6 2X 3 3 2X 6 X+6
0 0 X 2X+3 0 2X X X+6 2X 6 2X+6 3 2X 0
0 0 0 3 3 3 0 3 6 6 3 0 0 6
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+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 0.0366 seconds.