The generator matrix

 1  0  1  1  1  1  1  1  1  1
 0  1  1  2 2X^2 2X^2+2 2X^2+X 2X^2+X+2 2X X^2
 0  0 2X X^2 X^2+X 2X^2+X 2X^2+2X 2X^2 X^2+2X  0

generates a code of length 10 over Z3[X]/(X^3) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+40x^15+126x^16+150x^17+824x^18+312x^19+2940x^20+1578x^21+348x^22+150x^23+62x^24+24x^25+6x^27

The gray image is a linear code over GF(3) with n=90, k=8 and d=45.
This code was found by Heurico 1.16 in 0.0114 seconds.