The generator matrix

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

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+330x^89+218x^90+756x^92+512x^93+834x^95+414x^96+792x^98+326x^99+648x^101+272x^102+522x^104+252x^105+348x^107+148x^108+126x^110+44x^111+12x^113+6x^116

The gray image is a linear code over GF(3) with n=147, k=8 and d=89.
This code was found by Heurico 1.16 in 0.453 seconds.