The generator matrix

 1  0  0  1  1  1  1  X  1  1 2X  1  1  1  0  1  1  1  1  1 2X  1  X  1 2X  1  1  1  1  X 2X  X  0  1  1  1  1  1 2X  1  1  1  1  1  1  X  X  1  1
 0  1  0  0  0 2X+1  1  1 2X+2 2X+1  1  2  2 2X  X  1 2X+2  X  X 2X+1  1 X+2  1 X+2  1  0 2X 2X+1 2X+1  1  1  1  1 X+2  2 2X X+2 2X  1 2X  1  2 X+2 2X  2 2X  1 X+1 2X+2
 0  0  1  1  2 2X+2  1 X+2 2X+1 2X  1  0 X+2  X  1 2X+2 X+1 X+2 2X+1  0  2  0 2X  2 2X+1  1 2X  1  X X+1 2X 2X+2 2X+1 X+2 2X+1 2X+2 2X+2  2  2 X+2  0 2X X+1  X 2X  1 2X+1 X+2 X+2
 0  0  0 2X  0  0  0  0  0 2X  X  X 2X 2X 2X  0 2X  0  0 2X 2X 2X  X  X  0 2X 2X  0  X 2X 2X  X 2X  0 2X  X 2X 2X  X  X  X  0  X  0  0  0 2X 2X 2X
 0  0  0  0  X  X  X  0  X  0  X  0 2X  0 2X  0 2X  0 2X 2X 2X  X 2X  X  X  X  X  0  0  0  X  X  X  0  X  X  0  0 2X  0 2X 2X  X 2X  X  X  0  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+360x^89+290x^90+636x^92+510x^93+834x^95+306x^96+894x^98+316x^99+672x^101+278x^102+534x^104+324x^105+348x^107+102x^108+78x^110+50x^111+18x^113+2x^117+8x^120

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 38.9 seconds.