The generator matrix

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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+486x^88+474x^89+1858x^90+3102x^91+2700x^92+4640x^93+6696x^94+4752x^95+7242x^96+8160x^97+5022x^98+5510x^99+4434x^100+1440x^101+1358x^102+846x^103+162x^104+34x^105+66x^106+30x^107+6x^108+24x^109+2x^111+2x^114+2x^117

The gray image is a linear code over GF(3) with n=432, k=10 and d=264.
This code was found by Heurico 1.16 in 5.21 seconds.