The generator matrix

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

generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+252x^110+400x^111+432x^112+1290x^113+1448x^114+1428x^115+3192x^116+3014x^117+2268x^118+5706x^119+5416x^120+3912x^121+8826x^122+7332x^123+5382x^124+12282x^125+9426x^126+6726x^127+13806x^128+10214x^129+7116x^130+13026x^131+9386x^132+5886x^133+10770x^134+6818x^135+3612x^136+6156x^137+3668x^138+1914x^139+2538x^140+1418x^141+534x^142+756x^143+418x^144+138x^145+108x^146+62x^147+18x^148+24x^149+12x^150+6x^153+4x^156+4x^159+2x^168

The gray image is a linear code over GF(3) with n=192, k=11 and d=110.
This code was found by Heurico 1.16 in 487 seconds.