The generator matrix

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

generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+90x^123+72x^124+78x^125+290x^126+138x^127+204x^128+436x^129+192x^130+198x^131+636x^132+162x^133+180x^134+508x^135+264x^136+234x^137+556x^138+246x^139+264x^140+600x^141+234x^142+174x^143+260x^144+84x^145+102x^146+120x^147+48x^148+24x^149+62x^150+18x^151+30x^153+16x^156+8x^159+18x^162+4x^165+8x^168+2x^174

The gray image is a linear code over GF(3) with n=204, k=8 and d=123.
This code was found by Heurico 1.16 in 0.832 seconds.