The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+118x^99+240x^100+174x^101+168x^102+228x^103+78x^104+160x^105+180x^106+84x^107+82x^108+120x^109+78x^110+96x^111+90x^112+42x^113+60x^114+54x^115+24x^116+18x^117+54x^118+14x^120+6x^121+6x^122+8x^123+2x^129+2x^138

The gray image is a linear code over GF(3) with n=159, k=7 and d=99.
This code was found by Heurico 1.13 in 0.0471 seconds.