The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 2X X 1 1 1 1 0 1 1 X 1 1 1 2X 0 X 1 X 1 1 1 0 1 1 2X 1 1 1 1 X 2X 0 2X X 1 1 1 X 1 X 1 1 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 X+2 2X+1 X+1 2 2X+2 2X+1 1 1 2X+1 X+1 2 2X+2 1 2X+2 X+2 1 X+2 2 X+1 1 1 0 X 1 X+1 0 X 1 2X+1 1 1 0 X 0 2X 1 1 0 1 1 1 1 2X+2 1 X+1 2X 1 1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 2X+2 2 1 X+2 X+2 2X X+1 0 1 2X+1 X+1 2X+1 2X+1 0 X 2X+1 2X 1 0 2 X+2 1 X+1 2 2X+2 X+2 2X X 2X+1 2X X+1 2 X X+2 1 2X+2 2X+2 2X X 2X+2 0 1 1 0 0 1 X+1 2X+1 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 X+1 2X 2X+1 X+2 0 X 2X+1 X+1 2X+2 X 0 X+1 2X+2 1 X 2X 2 2 2X+2 X+2 2X+1 X+2 X+1 0 1 2X 2X+2 2X 2 1 X+1 X+1 X 2 2X+2 X X+1 1 X+2 0 2X+2 X 2X 2X+1 0 X+1 1 X+1 generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+654x^117+1212x^120+1164x^123+1112x^126+816x^129+702x^132+442x^135+288x^138+132x^141+32x^144+6x^147 The gray image is a linear code over GF(3) with n=189, k=8 and d=117. This code was found by Heurico 1.16 in 3.68 seconds.