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 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 X X X X X 0 1 1
0 X 0 0 X 0 X X 2X 0 0 X X 0 2X X 2X 2X 0 X 2X 0 X 2X 2X 2X 2X 0 0 0 X X 0 X X 2X 0 0 X X 0 2X X X 2X 2X 0 X 0 X 2X 2X 2X 2X 2X 0 0 0 X 0 X X 2X X 0 X
0 0 X 0 2X X 2X X 2X 0 X X 0 2X 0 0 X X 2X 2X 2X 2X X 0 0 X 2X 0 0 X 2X X X 2X 0 2X 0 X X 0 2X 0 X 0 X X 2X 2X 2X X 0 2X 0 X 2X 0 X 0 2X X 2X 0 2X 0 X 2X
0 0 0 X 2X 2X 0 2X 2X 2X X 0 2X 0 2X X X 0 X X X 2X X 0 X 2X 0 0 X 2X 2X 2X X X X 2X 2X 0 0 0 X X X 2X 2X X 0 0 2X X 0 0 2X 0 X X 2X 0 X 0 2X 2X 0 0 X 0
generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.
Homogenous weight enumerator: w(x)=1x^0+126x^129+36x^132+20x^135+54x^138+4x^144+2x^171
The gray image is a linear code over GF(3) with n=198, k=5 and d=129.
This code was found by Heurico 1.16 in 0.0894 seconds.