The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 13.

Homogenous weight enumerator: w(x)=1x^0+60x^13+510x^14+358x^15+4092x^16+3060x^17+23670x^18+15768x^19+61848x^20+47168x^21+15888x^22+4080x^23+482x^24+156x^25+2x^27+4x^30

The gray image is a code over GF(3) with n=90, k=11 and d=39.
This code was found by Heurico 1.16 in 4.56 seconds.