The generator matrix

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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+240x^90+180x^91+396x^92+868x^93+432x^94+648x^95+1012x^96+540x^97+756x^98+766x^99+306x^100+144x^101+230x^102+32x^105+8x^108+2x^135

The gray image is a linear code over GF(3) with n=432, k=8 and d=270.
This code was found by Heurico 1.16 in 0.116 seconds.