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 1 1 0 1 2X X 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 X+2 2 1 X 1 1 2X X 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 2X+1 X X+1 2X+2 X 2X+1 1 X 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 2X X+2 2X 2 1 2X 2X+1 X+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 0 X 2X X 0 X 0 2X 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+728x^114+2074x^117+2436x^120+3166x^123+3162x^126+3006x^129+2448x^132+1670x^135+714x^138+238x^141+32x^144+8x^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 14.7 seconds.