The generator matrix

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

generates a code of length 11 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+60x^15+714x^16+384x^17+4318x^18+3642x^19+24822x^20+16454x^21+55260x^22+48996x^23+16668x^24+4974x^25+642x^26+160x^27+48x^28+4x^30

The gray image is a code over GF(3) with n=99, k=11 and d=45.
This code was found by Heurico 1.16 in 5.65 seconds.