The generator matrix

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

generates a code of length 58 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+754x^99+3616x^102+8546x^105+14336x^108+22772x^111+30196x^114+33654x^117+29164x^120+20070x^123+10094x^126+3024x^129+742x^132+150x^135+10x^138+8x^141+6x^144+2x^147+2x^156

The gray image is a linear code over GF(3) with n=174, k=11 and d=99.
This code was found by Heurico 1.16 in 438 seconds.