The generator matrix
1 1 1 1 1 X 1 1 1 1
0 X 2X 0 X+3 X+3 0 0 6 2X
0 0 6 0 0 3 0 6 3 3
0 0 0 6 0 3 3 3 6 0
0 0 0 0 3 3 6 6 6 6
generates a code of length 10 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 13.
Homogenous weight enumerator: w(x)=1x^0+30x^13+72x^15+168x^16+708x^18+612x^19+2916x^20+1296x^21+582x^22+90x^24+66x^25+20x^27
The gray image is a code over GF(3) with n=90, k=8 and d=39.
This code was found by Heurico 1.16 in 0.184 seconds.