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 1 1 1 1 1 1 1 1 1 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 X X+1 0 X 2X+1 X+1 2X 2X 2X 1 1 1 2 2 X+2 X+2 2 X+2 2X+2 2X+2 2X+2 0 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 X X 2X 0 0 2X 0 X 2X 2X X 0 0 X 2X X 2X 0 0 X 2X 0 generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 126. Homogenous weight enumerator: w(x)=1x^0+24x^126+162x^128+48x^129+2x^135+4x^138+2x^165 The gray image is a linear code over GF(3) with n=192, k=5 and d=126. This code was found by Heurico 1.16 in 0.0272 seconds.