The generator matrix

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

generates a code of length 10 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+44x^12+216x^14+342x^15+648x^16+1296x^17+8370x^18+2592x^19+24462x^20+16100x^21+2592x^22+1728x^23+630x^24+26x^27+2x^30

The gray image is a code over GF(3) with n=90, k=10 and d=36.
This code was found by Heurico 1.16 in 0.454 seconds.