The generator matrix 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 X 1 1 1 1 1 1 0 1 1 1 0 0 1 1 2X 1 1 1 0 1 0 1 1 1 1 1 1 X X 1 1 X 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 2 0 1 2 1 0 2X+1 2 1 0 2 2X+1 1 1 X+2 0 2X+1 0 2X+1 2 1 0 2 2X+1 1 1 X X 1 2 X 2X+1 1 1 1 X+2 X+1 X 2X X+1 X 1 1 X+2 X+2 1 2X+1 2 2X+2 X+2 1 X+1 X+1 X+2 1 X+2 X+1 0 0 0 0 0 2X 0 0 0 0 0 0 2X X 2X 2X 2X 2X 0 2X 0 2X 2X 0 2X 2X 0 2X 0 X 0 2X 0 0 X 2X X 2X X 2X 0 X 2X X 0 0 0 2X 0 0 2X 2X X 2X 0 2X 2X X 2X 2X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 2X X 2X X 0 X X 2X 2X X 0 X X 0 X 0 X 0 2X X X X 0 0 X X 2X X X 0 X 2X X 0 2X 0 2X 0 0 2X X X X 2X 0 2X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 2X 2X X 0 2X X 2X 0 2X X 2X 0 2X 2X 0 2X 2X X 2X X 2X X 2X 2X X X X X 2X 2X 0 X X 2X 0 2X 2X 2X X 0 2X 0 X 0 X 0 0 X 0 0 0 0 0 0 2X 0 0 X 2X 2X X 2X 0 2X 2X 2X X 0 0 0 X X X 0 0 0 X 2X X 2X 2X 0 0 X 0 X 0 X X 2X 2X 0 X 0 2X 2X X 2X 0 2X 0 0 0 0 0 X 2X X X 2X X 0 0 0 0 0 0 0 X 0 X 0 X X X 2X 2X 0 X 2X 2X 0 2X X 2X 0 0 2X X 2X 0 2X X 0 2X 0 2X X 0 0 2X X 0 0 0 X 2X 2X 2X 2X 2X 2X 0 X 2X X 2X 0 0 2X 0 2X X 2X 0 0 0 0 0 0 0 0 X X X X 0 2X X 2X X X X X 2X 2X 2X X 0 X X 2X X X 0 0 X 0 2X X X 0 2X 2X 0 X X 2X 2X 2X 2X 2X 2X 2X 0 2X 0 2X 2X X 0 0 0 2X X X X 0 generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+38x^102+160x^105+6x^106+314x^108+138x^109+478x^111+576x^112+802x^114+1500x^115+1210x^117+3108x^118+2156x^120+5100x^121+2736x^123+7398x^124+3442x^126+7824x^127+3220x^129+6954x^130+2262x^132+4314x^133+1370x^135+1890x^136+660x^138+492x^139+330x^141+66x^142+246x^144+134x^147+76x^150+30x^153+10x^156+6x^159+2x^162 The gray image is a linear code over GF(3) with n=189, k=10 and d=102. This code was found by Heurico 1.16 in 52.9 seconds.