The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+6x^22+30x^23+150x^24+48x^25+384x^26+580x^27+4032x^28+1476x^29+2600x^30+7968x^31+1446x^32+740x^33+96x^34+66x^35+40x^36+10x^39+10x^42

The gray image is a code over GF(3) with n=135, k=9 and d=66.
This code was found by Heurico 1.16 in 44.7 seconds.