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 X 1 1 1 1 1 X X X X X 1 1 1 X 1 X 1 X X 1 1 1 X 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 2X X X X 2X X 2X 2X 0 0 2X X 2X 2X 0 2X X 0 2X X 0 2X 2X X 0 X X X 2X 2X 0 X X X 0 0 2X 2X 2X 0 0 2X 2X 0 2X X 2X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X X 2X 0 2X X X 2X 2X 2X X 0 2X 2X 2X X X 2X 2X 0 0 0 X X 0 2X 2X 2X X 0 2X 2X 0 2X 2X 2X 2X 2X 2X 2X 2X 0 X X 0 2X 2X 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X X 2X 2X 0 2X 0 X 0 X X 2X X 0 X X 0 0 0 2X 0 0 2X 2X X X X 2X 2X 0 2X 0 X X X 0 2X X 0 X 0 X X 2X X 2X 2X 2X 0 0 2X X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 2X X 2X X 0 X 0 0 0 2X X 0 2X 2X X X 0 2X 0 2X X 2X 0 2X X 2X 2X 0 0 X 0 0 2X X 2X X 2X 2X 0 X 0 0 0 X X 2X X 0 2X 2X X 2X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 2X 2X 0 X X X X X 2X 0 X X 0 0 0 X 0 2X 2X 2X 0 2X 0 X X 2X 0 2X 2X 0 2X 2X 2X X X 2X X 0 2X 0 X 0 0 2X 0 2X 2X 0 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 2X 2X X 0 2X 2X 2X X 2X X 2X 0 2X 0 2X 0 X 0 0 0 2X 0 2X X X X 2X 2X X X 0 2X 2X 2X 0 2X X 2X X X X X 2X X X 0 2X 0 X X 2X 2X 2X 2X 2X 0 X 0 0 0 0 0 0 0 0 0 X 0 2X 2X 2X 0 0 0 2X 2X 2X X 0 X 2X X X 2X 0 2X 2X 0 2X X 2X X 2X 2X 0 0 2X X X 2X 0 0 2X 2X 2X 2X 0 0 X X 0 2X X X 0 X 2X X 2X 2X X X 2X X 2X 0 0 0 0 0 0 0 0 0 0 X 2X X X 2X 0 X X 0 X X X X 0 2X 0 2X 2X 2X 0 2X 2X 0 2X 2X 2X 2X 0 2X 0 2X X X 2X X 2X 2X X 2X 0 2X 0 X 2X X 2X X X X 0 2X X 0 2X X 2X 2X X 0 0 generates a code of length 68 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+32x^105+124x^108+328x^111+496x^114+618x^117+12x^118+1000x^120+108x^121+1152x^123+762x^124+1280x^126+1662x^127+1472x^129+4362x^130+1612x^132+7602x^133+1816x^135+9492x^136+1764x^138+8178x^139+1734x^141+5082x^142+1740x^144+1794x^145+1472x^147+312x^148+1102x^150+802x^153+514x^156+304x^159+162x^162+86x^165+44x^168+18x^171+6x^174+2x^177+2x^186 The gray image is a linear code over GF(3) with n=204, k=10 and d=105. This code was found by Heurico 1.16 in 99.9 seconds.