The generator matrix

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

generates a code of length 55 over Z3[X]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+426x^98+288x^99+1212x^101+832x^102+1614x^104+834x^105+2058x^107+1186x^108+2352x^110+1112x^111+2292x^113+984x^114+1728x^116+806x^117+960x^119+364x^120+414x^122+126x^123+54x^125+14x^126+12x^128+12x^129+2x^138

The gray image is a linear code over GF(3) with n=165, k=9 and d=98.
This code was found by Heurico 1.16 in 6.08 seconds.