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

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+488x^90+108x^92+672x^93+324x^94+432x^95+2574x^96+648x^97+432x^98+458x^99+168x^102+162x^105+86x^108+6x^111+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 11.9 seconds.