The generator matrix

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

generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+40x^111+124x^114+200x^117+30x^119+218x^120+180x^122+200x^123+540x^125+226x^126+1110x^128+188x^129+1386x^131+176x^132+864x^134+194x^135+264x^137+148x^138+134x^141+126x^144+88x^147+54x^150+34x^153+18x^156+12x^159+2x^162+2x^168+2x^174

The gray image is a linear code over GF(3) with n=195, k=8 and d=111.
This code was found by Heurico 1.16 in 1.25 seconds.