The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X X X 2X 2X 2X 2X X X 2X 2X X X 0 2X X X X X X 0 2X X X 2X 2X X 2X 2X 0 0 0 X 2X 0 0 2X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X X 2X 0 0 X 2X X X X 0 2X X 2X 2X X 2X 0 X 2X 0 2X 0 0 X X 2X X 0 0 X X 2X 0 X 0 2X 2X 0 X X X X 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 2X 2X 2X 0 2X 2X 2X X 2X X 0 X 0 0 0 2X X 2X X 2X 0 2X 0 0 2X X 0 X 2X 2X 0 X 2X 0 0 0 X 2X 0 2X X 2X 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 2X 2X X X 2X X X 2X 0 2X 2X X X 2X 0 2X X X X 2X 0 2X 0 2X 2X X X X 2X X 0 2X X X 2X 2X 0 2X X 2X 2X X 2X 0 2X 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 0 2X 2X 0 0 0 0 X 2X X 0 2X X 0 2X 2X 2X 2X X 0 2X X 0 0 X 2X 0 X X 0 2X 2X 2X X 0 0 0 2X 2X 2X X 2X X 2X X 2X 0 0 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 2X 2X 2X X 2X 0 X 0 X 2X 2X 2X X X 0 0 X 0 2X 0 X 0 X 0 X X 2X X 2X X 2X 0 2X X 0 X 2X X 0 0 2X 2X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 2X 0 2X 0 2X 2X X 0 0 X 2X 0 2X 0 0 X 0 0 2X X 0 2X 2X 2X X 2X X 2X X X X 0 0 2X 0 0 0 0 0 X 2X 2X 0 0 2X 0 2X 2X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 0 X X X 2X X 2X X X X 0 2X X X 2X 0 X 0 X 2X 0 X 2X 2X 2X X 2X X X 2X 2X 2X 0 2X 0 X 2X 0 X 2X X 0 2X X 2X 2X generates a code of length 63 over Z3[X]/(X^2) who´s minimum homogenous weight is 99. Homogenous weight enumerator: w(x)=1x^0+68x^99+312x^102+504x^105+704x^108+974x^111+18x^112+1180x^114+252x^115+1432x^117+1512x^118+1602x^120+5040x^121+1790x^123+10080x^124+1936x^126+12096x^127+2088x^129+8064x^130+1942x^132+2304x^133+1608x^135+1258x^138+1024x^141+560x^144+372x^147+184x^150+84x^153+36x^156+14x^159+6x^162+4x^168 The gray image is a linear code over GF(3) with n=189, k=10 and d=99. This code was found by Heurico 1.16 in 92.2 seconds.