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 1 X 1 1 1 1 1 1 X X X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 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 0 0 0 2X X 2X X X 2X X X X 2X 2X 2X X 2X 2X X X X 2X X X 0 X 2X 2X 0 X 2X X 2X X 2X X X 2X 2X 2X X 2X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X 2X 0 X 2X 2X 2X 2X 0 X 0 0 X 2X 0 2X X 2X 2X 2X 0 2X 2X 0 2X X 0 X X X 2X X 0 2X X 2X 0 2X 2X 2X 0 X X 0 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 2X 2X 2X 2X X 0 X 0 X 2X 2X X 2X 2X X 0 X X X X X 0 0 2X X 0 0 0 2X 2X 0 0 X 0 X 2X X 0 X 0 0 0 X 0 X 0 2X 2X 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 2X 2X 2X X X 2X 2X 0 X 2X 2X X 2X 2X X 0 X 2X X X 0 2X 0 0 2X 2X 0 X 0 X X 2X 2X 2X 0 X 0 X 0 X 2X 0 X 2X X 0 2X 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 0 2X 2X X X 0 0 2X 2X 0 X 0 0 0 2X 2X 0 0 X X 2X X 2X X X 2X 0 X X 0 2X X X X 0 X 2X X 0 X 0 X 2X 2X X 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 2X 2X 2X X 2X 2X 0 0 0 0 0 0 2X 2X 0 2X 0 X X 2X 2X X X 0 X 0 2X X 0 2X 0 X 0 0 2X 0 X X 0 2X X 2X X 2X X X 2X 0 0 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 2X 0 2X 2X X 2X X X 2X 2X X 2X 2X 2X X X 2X 0 2X 2X 2X X 0 0 2X 2X 0 X 2X 0 0 0 2X 2X 0 X X 0 2X X 0 0 2X X X X 2X 0 X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 0 X X 2X X X 0 2X 0 X X X 0 X 0 X 0 X 0 X 2X 2X 2X X 0 2X 0 0 0 2X 2X X X 0 0 2X X 2X X 2X 0 2X 2X X 0 0 2X generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 102. Homogenous weight enumerator: w(x)=1x^0+144x^102+352x^105+592x^108+852x^111+1016x^114+1394x^117+162x^118+1396x^120+1620x^121+1684x^123+6480x^124+1808x^126+12960x^127+1866x^129+12960x^130+2090x^132+5184x^133+1808x^135+1630x^138+1140x^141+802x^144+524x^147+318x^150+148x^153+66x^156+36x^159+8x^162+2x^165+4x^168+2x^177 The gray image is a linear code over GF(3) with n=192, k=10 and d=102. This code was found by Heurico 1.16 in 95.1 seconds.