The generator matrix
1 0 1 1 1 1 1 X+3 1 1 1
0 1 2X+4 8 X+3 X+1 X+2 1 2X 2X+4 8
0 0 3 0 0 0 3 3 0 6 6
0 0 0 6 0 0 3 3 6 3 0
0 0 0 0 3 0 6 3 6 0 3
0 0 0 0 0 6 3 0 3 3 3
generates a code of length 11 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+132x^15+162x^16+1266x^18+972x^19+10206x^20+4536x^21+15066x^22+20412x^23+4866x^24+1296x^25+110x^27+24x^33
The gray image is a code over GF(3) with n=99, k=10 and d=45.
This code was found by Heurico 1.16 in 23.2 seconds.