The generator matrix 1 0 1 1 1 1 1 0 1 1 1 X 1 1 1 X 1 1 1 0 1 1 1 X 1 1 1 1 1 1 1 1 1 2X 2X 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 X 1 0 1 1 2 2X+1 0 2 1 X 2X+1 X+2 1 X X+1 X+2 1 X+1 0 2 1 X 1 X+2 1 2X 2X 2X+1 X+1 2X 1 2X+2 2X+2 2X+2 1 1 1 0 0 X 2X+1 2X+1 X+1 2 2 X+2 X X+1 X+2 X 0 2X+1 X+1 2 X+2 X X 2X 2X 2X 1 1 1 2X+2 2X 2X+2 0 0 2X 0 X X 2X 2X 2X 0 X X X 2X 2X 2X X 2X X X 0 0 0 0 0 X 2X 0 2X X 0 X 2X 0 X 2X 0 X 2X 2X X 0 0 X 2X X X 0 0 2X 0 2X 2X X X 2X 0 X 2X 2X X 0 0 X X generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+54x^127+36x^129+54x^130+34x^132+54x^133+8x^135+2x^159 The gray image is a linear code over GF(3) with n=195, k=5 and d=127. This code was found by Heurico 1.13 in 0.0432 seconds.