The generator matrix

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

generates a code of length 46 over Z3[X]/(X^3) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+58x^75+128x^78+222x^81+222x^84+234x^87+486x^88+216x^90+1944x^91+13122x^92+222x^93+1944x^94+214x^96+218x^99+164x^102+156x^105+70x^108+36x^111+22x^114+2x^117+2x^132

The gray image is a linear code over GF(3) with n=414, k=9 and d=225.
This code was found by Heurico 1.16 in 2.14 seconds.