The generator matrix

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

generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+222x^124+174x^125+342x^126+468x^127+228x^128+450x^129+552x^130+258x^131+404x^132+450x^133+228x^134+212x^135+390x^136+240x^137+330x^138+234x^139+132x^140+188x^141+288x^142+108x^143+138x^144+186x^145+54x^146+96x^147+96x^148+24x^149+20x^150+30x^151+12x^152+6x^156

The gray image is a linear code over GF(3) with n=201, k=8 and d=124.
This code was found by Heurico 1.16 in 0.639 seconds.