The generator matrix

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

generates a code of length 15 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+10x^21+72x^22+84x^23+378x^24+198x^25+1986x^26+1754x^27+7128x^28+7632x^29+15124x^30+14130x^31+7602x^32+2304x^33+234x^34+192x^35+90x^36+108x^37+22x^39

The gray image is a code over GF(3) with n=135, k=10 and d=63.
This code was found by Heurico 1.16 in 1.21 seconds.