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 1 1 1 1 1 X 1 X X 1 X 1 1 X 1 1 X 1 X 1 X 1 1 X 1 1 1 X 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 X X 0 X 0 2X X X 2X X 2X 0 2X X 0 0 0 X 0 2X 2X 2X 2X 0 0 X X 0 2X X 2X X 0 0 0 X 0 2X 0 X X X X X X 2X 0 0 0 X 0 2X 2X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 2X X X 2X X X X 0 X 2X 2X 2X 2X X 0 2X X 0 0 X 2X X X X 2X 0 0 0 2X 2X 2X X 0 X 0 0 X X 0 X 2X X 2X 0 X 2X 0 2X 2X 0 2X X 2X X 2X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 2X 0 2X X X 2X 2X X 2X 0 2X 2X 0 X 2X 2X X 2X 2X 0 2X 2X 0 0 X 0 2X X 2X X 2X X 0 2X 0 2X 0 X 2X 0 0 2X 0 0 X 0 2X 0 0 0 2X 2X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 2X 2X 0 2X 0 0 X 2X X X 0 2X X 2X 2X 0 X 0 0 2X X X 2X 0 X X X 2X 0 X 0 X X X 0 X X 2X X 2X X X 0 0 0 0 2X 0 2X 0 0 0 0 X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 2X 2X X 2X X 2X X 0 2X 2X 0 0 2X 0 2X 0 0 2X 0 2X 2X 0 0 0 0 X 2X 0 2X 2X 0 X X 2X X X 2X 2X 0 X 0 0 0 0 0 X 2X X 2X 2X 2X 0 2X 2X X 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X 2X X X 0 2X 2X 2X 0 X 2X 0 0 X X X X 0 0 0 0 0 X 0 X X X 0 0 X X 2X 2X 0 2X 0 X 2X 2X 0 2X X X 2X 2X X 0 X 0 2X 2X 2X 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 2X X 2X 0 X X 0 2X X 2X 2X 0 X 0 2X X 0 0 X 2X 0 X X X 2X X 0 0 X 0 0 2X 2X 2X X X 2X 2X 2X 2X X 2X X X 0 X 2X X 2X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 0 2X 2X 0 X 2X X 0 2X 0 2X 0 X 0 X 2X 0 2X 0 X 2X 0 2X 2X 0 X 0 X 2X X 0 X X 0 X 0 0 2X 2X X 2X X 2X 0 X 0 2X 2X X X 2X X 2X 2X 2X 2X 0 0 0 0 0 0 0 generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+50x^105+144x^108+234x^111+326x^114+362x^117+472x^120+574x^123+632x^126+784x^129+1012x^132+1778x^135+3458x^138+6352x^141+10234x^144+11414x^147+9124x^150+4930x^153+2060x^156+1248x^159+1050x^162+980x^165+730x^168+474x^171+312x^174+172x^177+72x^180+42x^183+12x^186+6x^189+8x^192+2x^195 The gray image is a linear code over GF(3) with n=219, k=10 and d=105. This code was found by Heurico 1.16 in 99 seconds.