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 1 1 1 0 1 1 2X X 2X 1 X 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 X+2 2 1 0 0 1 1 1 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 X+1 X 2X 2X 2X X+2 X+1 2X+2 2X+2 X+1 2X 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 2X+1 X+1 2X+1 1 X+2 0 2 2X+1 2X+1 2 2X+2 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+624x^117+1236x^120+1164x^123+1168x^126+792x^129+666x^132+456x^135+264x^138+150x^141+28x^144+12x^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 3.23 seconds.