The generator matrix 1 0 0 1 1 1 1 1 1 2X 1 1 1 X 2X 1 1 X 1 1 1 2X 0 1 1 1 1 1 1 2X 1 X X 1 1 0 0 1 1 1 1 1 2X 0 1 1 1 1 1 1 0 1 X 2X 1 1 X 1 0 X 1 1 1 1 0 1 0 2X 1 2X+1 2 0 X+2 1 2X+2 2X+1 X+2 1 1 X+1 X 1 2 1 2X 0 1 X+2 0 2X+2 X+1 X+2 X 1 2 2X 1 2X+1 X+1 1 2X X 2X+1 2X+2 2X 2 1 1 X+2 2X+1 X+1 0 X 2X 1 X+1 0 2X 1 1 1 2 1 1 1 2 2X+1 2X+2 0 0 1 2X+1 1 2X 2X+2 2 X 1 X+2 2 X+1 X 2X+2 X+1 2X+1 1 X+2 2 1 1 X+2 2X 2X+2 X+1 0 2X+2 X X 2X+1 1 X+2 X+2 X+2 2X 1 2X X+1 0 2 0 X+1 2X+2 2X+1 0 X 1 2X+2 0 X+1 1 1 1 2X X X+1 X 1 2X+1 2X+1 2X 1 X generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+234x^125+160x^126+138x^128+48x^129+72x^131+12x^135+24x^137+6x^138+18x^143+16x^144 The gray image is a linear code over GF(3) with n=192, k=6 and d=125. This code was found by Heurico 1.13 in 0.0405 seconds.