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

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+56x^114+196x^117+200x^120+18x^122+212x^123+180x^125+214x^126+720x^128+186x^129+1440x^131+174x^132+1440x^134+170x^135+576x^137+186x^138+178x^141+142x^144+96x^147+66x^150+52x^153+30x^156+14x^159+8x^162+2x^165+2x^168+2x^183

The gray image is a linear code over GF(3) with n=198, k=8 and d=114.
This code was found by Heurico 1.16 in 1.32 seconds.