The generator matrix 1 0 1 1 1 1 1 0 1 0 1 1 1 1 1 0 X 1 1 1 0 1 1 1 1 1 X 1 1 1 1 1 1 1 1 2X 1 1 0 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 0 1 1 2 0 1 2 1 2X+1 1 0 2 X+2 2X+1 0 1 1 0 2 X+1 1 0 2 2X+1 X+1 2 1 2X+2 X 2X+1 2X+2 2X+1 X X 1 1 2X+2 2X+1 1 2X+1 X+2 2X+2 X+2 1 1 2X 1 0 2 1 2X+2 2X+1 X X+2 0 2X 2X+1 2 2 X+1 1 1 0 0 0 2X 0 0 0 0 0 0 0 2X X X 2X 2X 2X 2X 2X 2X X 0 X X 2X 0 X X X X X X X X 0 2X X 0 X X X 2X 2X 2X 2X 2X X 2X 2X 2X X 2X 2X X 2X X 2X X 0 X 2X X 2X 2X 0 0 0 X 0 0 0 X 2X X 0 2X X 2X 2X 0 2X 2X 0 2X 2X 2X 2X X X X 2X 0 X X 2X 0 2X 2X 0 2X X 2X 2X X 2X 2X 2X 0 0 0 X 2X X 2X 0 0 0 2X 0 X 0 0 2X X X X 0 0 0 0 0 X 0 X X X X X 2X 0 X X 0 2X 0 0 X X 2X 0 X 0 2X 2X X 2X X 0 0 X 0 2X X X 2X X 0 0 X 2X 2X X 2X 2X X X X X 0 X 0 X 0 X 0 X 0 0 2X 2X 0 0 0 0 0 2X 2X 0 2X X 0 2X X X 2X 2X X X 2X 0 X X 0 0 2X 0 X 2X X 0 X 0 2X X 0 X X 2X 0 2X 2X 2X 2X 2X X 0 2X 0 X X X 2X X 0 2X 2X 0 2X 2X X 2X 0 0 generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+222x^114+544x^117+964x^120+976x^123+1154x^126+1092x^129+922x^132+466x^135+134x^138+30x^141+12x^144+16x^147+8x^150+8x^153+8x^156+2x^159+2x^162 The gray image is a linear code over GF(3) with n=189, k=8 and d=114. This code was found by Heurico 1.16 in 0.739 seconds.