The generator matrix

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

generates a code of length 60 over Z3[X]/(X^2) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+108x^108+90x^109+90x^110+334x^111+192x^112+204x^113+464x^114+174x^115+168x^116+650x^117+180x^118+258x^119+584x^120+300x^121+318x^122+706x^123+228x^124+264x^125+464x^126+162x^127+138x^128+180x^129+102x^130+18x^131+50x^132+30x^133+30x^135+32x^138+18x^141+14x^144+4x^147+4x^150+2x^153

The gray image is a linear code over GF(3) with n=180, k=8 and d=108.
This code was found by Heurico 1.16 in 0.676 seconds.