The generator matrix

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

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+414x^10+90x^11+2296x^12+1656x^13+8892x^14+4584x^15+1656x^16+90x^17+2x^18+2x^21

The gray image is a linear code over GF(3) with n=63, k=9 and d=30.
This code was found by Heurico 1.16 in 0.0356 seconds.