The generator matrix

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

generates a code of length 14 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+60x^21+54x^22+458x^24+324x^25+4860x^26+1484x^27+648x^28+9720x^29+1518x^30+432x^31+98x^33+18x^36+6x^39+2x^42

The gray image is a code over GF(3) with n=126, k=9 and d=63.
This code was found by Heurico 1.16 in 0.549 seconds.