The generator matrix
1 1 1 1 1 X X 1 1
0 X 0 0 2X 6 X+6 3 X+6
0 0 X 2X 0 X+6 6 6 2X+6
0 0 0 3 6 3 6 0 6
generates a code of length 9 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+62x^12+234x^14+128x^15+648x^16+864x^17+2240x^18+1296x^19+810x^20+226x^21+36x^23+16x^24
The gray image is a code over GF(3) with n=81, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0136 seconds.