The generator matrix

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

generates a code of length 54 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+92x^99+24x^100+78x^101+234x^102+132x^103+102x^104+232x^105+60x^106+102x^107+204x^108+84x^109+72x^110+156x^111+138x^112+60x^113+162x^114+48x^115+60x^116+80x^117+12x^119+24x^120+14x^123+6x^126+4x^132+4x^135+2x^141

The gray image is a linear code over GF(3) with n=162, k=7 and d=99.
This code was found by Heurico 1.16 in 0.0805 seconds.