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 X 1 1 1 1 X X 1 1 1 X 1 1 1 1 1 1 X 1 X X 1 1 1 1 X 1 0 1 1 1 1 1 X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X 2X X X 2X 2X X 2X X X 2X 2X 0 0 2X 2X X 0 2X X X X 2X 2X 0 0 2X 2X X X X 2X 2X 2X X 0 X 0 X X X 0 2X X X X 0 X 2X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X 2X 2X 2X 0 X 2X X X X 2X X 0 X 2X 0 0 2X 2X 2X 0 2X 2X 2X 0 0 2X 2X 2X X X X 2X 2X 2X 0 0 0 X 2X 2X X 2X 2X X X 0 0 2X 2X 2X 2X 0 0 2X 2X 2X 0 2X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X 2X X 0 X 2X X 2X 2X 2X 0 X 0 X 2X 0 2X X 0 0 2X X 0 X X X 2X 2X 2X X 0 0 0 2X X 2X 2X 0 X X 0 X X 0 X 2X 0 X X 2X 2X 2X X 2X X 0 2X X 2X 0 0 2X X 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 2X 2X X 0 X 2X X X 2X 0 X 2X X 0 0 2X X X X X 0 0 0 2X 2X 0 2X 2X 0 X X X 0 2X X 2X 2X 0 2X 0 2X 0 2X X X X X 0 0 0 X 2X 0 0 X X 2X 0 0 X X 0 X 0 0 0 0 0 X 0 0 X 2X 0 2X 2X X X X 2X X X X 0 2X 2X 2X 0 X X 0 X X 0 X 2X 2X 0 X 0 X 0 0 2X 0 0 2X 2X X 0 0 2X 2X X 0 2X 0 0 2X 0 X X 0 0 0 2X X 0 2X 2X 2X 0 2X X 2X X 0 0 2X 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X X 2X 2X X 2X 0 0 X 2X 0 2X 2X X X X 0 0 0 X X 2X X 2X X X X X 2X X 0 0 X 0 0 0 2X 2X 0 X X 2X 0 0 0 2X 0 0 0 X 2X X 0 X 0 0 X 0 2X X 2X 2X 2X 0 0 0 0 0 0 0 X 2X 2X 2X 2X X 0 X X 0 0 X 0 2X X X 0 2X 0 X 2X 0 2X 0 2X 0 X 2X X 0 X 2X 0 2X 0 2X 0 0 2X X 0 0 0 X 2X X X 0 X 0 X 0 0 X 0 2X 2X 0 2X X X X 0 0 X 2X 2X 0 X generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 129. Homogenous weight enumerator: w(x)=1x^0+110x^129+248x^132+384x^135+12x^136+450x^138+114x^139+468x^141+414x^142+504x^144+1020x^145+554x^147+2184x^148+556x^150+3258x^151+498x^153+3036x^154+520x^156+2076x^157+522x^159+864x^160+488x^162+144x^163+380x^165+342x^168+218x^171+168x^174+70x^177+38x^180+32x^183+6x^186+2x^189+2x^195 The gray image is a linear code over GF(3) with n=228, k=9 and d=129. This code was found by Heurico 1.16 in 14.5 seconds.