The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+112x^123+84x^124+234x^125+336x^126+216x^127+546x^128+350x^129+282x^130+540x^131+352x^132+282x^133+546x^134+296x^135+180x^136+456x^137+224x^138+174x^139+186x^140+198x^141+102x^142+216x^143+180x^144+90x^145+114x^146+68x^147+30x^148+66x^149+38x^150+18x^151+12x^152+24x^153+6x^156+2x^159

The gray image is a linear code over GF(3) with n=201, k=8 and d=123.
This code was found by Heurico 1.16 in 0.634 seconds.