The generator matrix

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

generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+50x^99+150x^101+312x^102+702x^104+728x^105+1716x^107+1290x^108+3294x^110+1806x^111+5010x^113+2696x^114+6636x^116+3372x^117+7848x^119+3344x^120+6918x^122+2774x^123+4350x^125+1696x^126+1992x^128+960x^129+654x^131+412x^132+96x^134+128x^135+54x^138+28x^141+24x^144+4x^147+4x^150

The gray image is a linear code over GF(3) with n=177, k=10 and d=99.
This code was found by Heurico 1.16 in 42.6 seconds.