The generator matrix

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

generates a code of length 7 over Z3[X]/(X^3) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+90x^10+108x^11+786x^12+360x^13+3186x^14+1554x^15+360x^16+108x^17+8x^18

The gray image is a linear code over GF(3) with n=63, k=8 and d=30.
This code was found by Heurico 1.16 in 0.00549 seconds.