The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+44x^54+18x^56+354x^57+126x^58+132x^59+1666x^60+648x^61+2652x^62+6322x^63+1602x^64+10122x^65+12076x^66+2196x^67+10128x^68+8326x^69+1188x^70+210x^71+874x^72+72x^73+66x^74+136x^75+46x^78+22x^81+16x^84+6x^87

The gray image is a linear code over GF(3) with n=297, k=10 and d=162.
This code was found by Heurico 1.16 in 4.24 seconds.