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 X X 1 1 1 X 1 1 X X 1 1 1 1 1 X 1 X X X X 1 1 0 1 1 X 1 0 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X X 2X 0 X 0 0 2X 2X 0 2X X 0 0 X X X 2X X 2X 0 X X X 2X 2X 2X X X X 0 X 0 X X X X X 2X 0 0 0 0 2X 0 2X 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 0 2X X 0 2X 0 2X 0 X X X 0 X 2X X X 0 2X X X 0 2X 2X 2X 0 2X X X X 2X X 0 0 2X X 2X 2X X X X 2X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 0 0 X 2X 2X 2X X X 2X 0 X 0 2X X X 0 0 0 2X 0 2X 2X X 0 X 2X X X 2X X 0 2X X X 2X X 0 X X 0 X 2X 0 2X X 0 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 2X X 0 X X 2X 2X X 2X 2X 2X X 2X X 2X 0 2X 2X 2X 2X X 2X 0 2X 0 X 2X 2X 0 X 2X 0 0 X X 0 2X X 0 0 X 0 2X 2X 0 0 X X 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X X 2X X 0 0 2X X 2X 2X X 2X X 0 2X 2X 0 0 X X 0 X 0 0 2X 0 0 0 0 X 2X X X 0 X 0 X X 2X 0 0 2X 0 2X 2X 0 X 0 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 0 0 X 2X 2X 0 0 2X 0 2X 2X X X X 2X 2X 2X 2X 0 0 X X 0 2X 0 2X 0 X 0 2X X X 2X 0 X X 2X 0 X X 2X X 2X X 2X 0 X 2X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 2X 2X 0 2X 0 0 2X 2X X 0 2X X 0 2X X 0 X 0 X 0 2X X X X 0 X X 0 2X 2X X 2X 2X X X 2X 0 2X X 2X 0 0 2X 0 X 2X 2X 0 generates a code of length 64 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+56x^105+242x^108+362x^111+30x^112+410x^114+234x^115+480x^117+534x^118+464x^120+1188x^121+552x^123+2040x^124+614x^126+2730x^127+574x^129+3006x^130+614x^132+2040x^133+562x^135+948x^136+524x^138+312x^139+392x^141+60x^142+286x^144+206x^147+124x^150+56x^153+30x^156+12x^159 The gray image is a linear code over GF(3) with n=192, k=9 and d=105. This code was found by Heurico 1.16 in 11.4 seconds.