The generator matrix
1 0 0 1 1 1 2X 1 1 1
0 1 0 2X+4 2X+3 1 1 6 2X+1 X+3
0 0 1 2X+2 2X+4 1 X+1 2 X X+6
generates a code of length 10 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 15.
Homogenous weight enumerator: w(x)=1x^0+26x^15+582x^16+390x^17+2442x^18+2082x^19+6672x^20+4860x^21+2190x^22+390x^23+40x^24+6x^25+2x^27
The gray image is a code over GF(3) with n=90, k=9 and d=45.
This code was found by Heurico 1.16 in 0.0554 seconds.