The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 1 0 1 1 1 X 1 1 0 2X 1 1 1 1 X 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 1 X 1 1 1 1 2X 1 2X 2X 0 1 1 1 1 1 0 1 1 X 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 X 2X 2X X X+2 1 2 1 1 1 2X+1 1 X+2 X 1 X+2 X+1 2X+1 X+1 0 1 2X 2X+2 1 X+2 0 X+2 2X 1 X X 0 2 X+1 0 1 1 2X 2X 1 1 2 2 2X X 2X 0 X+1 X+2 1 2X+1 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 X X+2 X+2 1 0 X+1 1 2X+2 2X 2X+1 2X+1 2X 0 X+2 X+2 2 X+2 2X+1 2 X X 2X+1 X+1 1 X 0 2X+1 2 1 X 2X 2X 2 1 2X X+2 2X 0 0 X+1 1 2X+1 X X+1 X+2 2X X X+1 1 1 2 X+2 0 0 0 0 2X 0 0 0 0 0 2X X 0 0 0 X 2X X X 2X X X 0 0 X 2X 2X 0 X X 2X 2X X 2X 0 X X 2X 0 2X 0 2X X 0 2X 2X 2X 0 X X X X 0 0 2X 2X X 0 2X 0 X 2X 2X X 0 0 0 0 0 X X X 0 X 0 X 0 2X 0 X 0 X X X 0 2X 2X 2X 2X 0 X 2X 0 0 X X 0 2X 2X 0 X 2X 0 0 2X 2X X X 2X X X 2X 2X X 0 0 2X X X 2X 2X 2X X 0 2X X X 2X 2X generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 118. Homogenous weight enumerator: w(x)=1x^0+222x^118+300x^119+86x^120+426x^121+540x^122+186x^123+516x^124+498x^125+122x^126+492x^127+444x^128+106x^129+444x^130+432x^131+88x^132+282x^133+300x^134+40x^135+270x^136+228x^137+54x^138+162x^139+108x^140+28x^141+84x^142+66x^143+8x^144+6x^145+4x^147+12x^148+4x^150+2x^156 The gray image is a linear code over GF(3) with n=192, k=8 and d=118. This code was found by Heurico 1.16 in 99.5 seconds.