The generator matrix 1 0 0 0 1 1 1 1 1 0 1 1 1 1 2X 1 1 1 1 0 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 X 1 1 X 1 X 2X 1 1 0 1 0 X 1 1 2X 2X 1 1 0 X 0 1 1 X 1 1 1 0 1 0 0 0 0 2X 2X 0 2X 2X 2X+2 X+1 X+1 1 2X+1 2X+1 2X+1 2 1 X+2 2X+2 1 X 1 1 1 X X+2 X+2 2X+1 X X+2 0 1 1 X 1 1 2X+1 1 1 2X+2 X+1 0 X+1 1 1 2X 2X+2 1 1 2X+1 2X 1 0 X 2X+1 X+2 1 X 2X+2 2X+2 0 0 1 0 0 X 2X+1 2 2X+1 1 X+2 X+1 2X X+1 2X+2 2X+2 X X+2 2 2X+1 2X 2X X+2 X+2 0 X+1 0 1 X+1 2 2X+1 0 X 1 2X+2 2X+2 2 X+1 2 2X X 0 2X+2 0 1 1 X 2 2X+2 2 1 X+1 2X+2 1 X+1 X 0 X+2 X+1 X+1 X 2X+2 2X+2 0 0 0 1 1 2X+2 2X 0 X+1 1 2X+2 2 2X+1 X+1 2X+2 X 2 X+2 X+2 0 X 1 X+1 2X+1 1 X+2 2X 2X+2 2X 2X+1 X X+1 X+2 0 X+2 2X+1 X X+1 X 2X X+2 2X+2 2X+2 2 2X+2 X 2X 0 2X+2 2X+1 2 2X+1 X+1 2 1 1 1 1 1 2X+2 X+2 2X+1 2 0 0 0 0 2X 2X 2X 2X 2X 0 2X 2X 2X 2X 0 2X 2X 2X 0 2X 0 X 0 X 2X 0 X 0 0 X 0 0 0 X X X 0 X 2X 0 0 2X 2X 0 X 2X X X 0 0 X 2X 0 X 2X 2X 2X 2X 2X 2X 2X 2X 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+780x^114+1922x^117+2606x^120+3054x^123+3298x^126+2838x^129+2492x^132+1692x^135+756x^138+206x^141+26x^144+10x^147+2x^150 The gray image is a linear code over GF(3) with n=189, k=9 and d=114. This code was found by Heurico 1.16 in 13.7 seconds.