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 X X X X X X X 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
0 X 0 X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X 2X 0 X X X 0 2X 2X 2X X X X 0 0 0 X X 0 X 2X 2X 2X 0 0 X X 0 X 2X 2X
0 0 X 2X 2X X 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X 2X X 2X X 0 2X 0 X 2X 0 X 2X X 0 X 2X X 2X 0 0 X 2X 0 X 2X X 2X 0 0 X
generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 130.
Homogenous weight enumerator: w(x)=1x^0+54x^130+16x^132+8x^135+2x^159
The gray image is a linear code over GF(3) with n=195, k=4 and d=130.
This code was found by Heurico 1.16 in 0.038 seconds.