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  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X
 0 X^2  0  0  0  0 X^2 2X^2 2X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 2X^2  0 2X^2  0 2X^2  0 X^2 X^2 2X^2  0 X^2 X^2  0 2X^2  0 X^2 2X^2  0 X^2 X^2 X^2 2X^2 2X^2 2X^2 X^2 2X^2 X^2 X^2 X^2
 0  0 X^2  0  0 X^2 2X^2  0 2X^2  0 X^2 X^2 2X^2 2X^2  0 X^2  0 X^2 X^2 X^2 X^2  0  0 2X^2 2X^2 X^2 2X^2  0 2X^2 X^2 2X^2 X^2 2X^2  0 X^2  0 X^2 X^2  0  0 X^2 2X^2  0 X^2  0 2X^2 2X^2  0
 0  0  0 X^2  0 2X^2 2X^2 X^2  0 X^2 X^2  0  0 X^2 2X^2 X^2 X^2 2X^2 2X^2  0  0 2X^2 2X^2 2X^2 2X^2 2X^2  0  0 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 2X^2  0 X^2  0 X^2  0  0 2X^2 X^2 X^2 2X^2
 0  0  0  0 X^2 2X^2 2X^2 2X^2 2X^2 2X^2  0 2X^2  0  0 2X^2 2X^2  0 X^2  0  0 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2  0  0  0 X^2 2X^2  0 2X^2 X^2  0 X^2  0 X^2 2X^2 2X^2 X^2 2X^2  0  0 2X^2 X^2 X^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+134x^90+108x^93+1674x^96+234x^99+30x^108+4x^117+2x^135

The gray image is a linear code over GF(3) with n=432, k=7 and d=270.
This code was found by Heurico 1.16 in 0.176 seconds.