The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 X 1 2X 1 1 X 1 1 1 1 X 1 2X 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+2 X+1 2 X+2 X+2 2X+1 0 X+1 1 2 2X 1 X+2 0 1 X+2 1 X 2X+2 1 X+2 X+2 0 2 1 1 1 2 1 X+2 2 2X 2X+2 2X 0 2X X+1 X 2X X 2X 1 1 2X+1 0 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X 0 2X X 2X X X 0 X 0 2X 2X 2X 0 X 0 2X X 0 X 2X 2X 0 X 2X 0 X 2X X 2X 2X 2X 0 0 X 0 X 2X 2X X X 2X 0 2X X 0 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 0 2X X 2X 0 2X X X X 0 2X 0 0 2X 2X 0 X X 0 2X 0 2X X 2X 0 X X 0 0 0 X 2X 0 2X 0 X 2X X 2X 2X X X X 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X 2X 0 X 2X 2X 0 0 X 2X 0 X 2X X 0 X 0 X X X 2X 0 X X 2X 2X 2X X 2X 0 X 0 2X 0 0 X 0 X 2X X 2X X generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 118. Homogenous weight enumerator: w(x)=1x^0+180x^118+226x^120+294x^121+186x^123+246x^124+24x^126+234x^127+138x^129+282x^130+78x^132+114x^133+2x^135+54x^136+54x^138+54x^139+8x^147+6x^150+6x^156 The gray image is a linear code over GF(3) with n=189, k=7 and d=118. This code was found by Heurico 1.16 in 38.2 seconds.