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 1 X 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 1 X 1 X 1 1 1 X X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X 2X 2X X X 2X X 2X 0 2X X 0 2X 2X X 2X X 2X 2X 0 X 0 2X X X 0 2X X X 0 X 2X 2X X X X 2X 2X 2X 2X 0 X 0 2X X X 0 0 0 0 2X 2X X X 2X X 0 0 2X 0 2X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 2X 2X 2X 2X 0 X 0 X X 2X X 2X 0 X 2X 0 2X 0 0 X 0 2X 0 X 2X X X 2X X X 2X X 2X X 0 2X 0 X X 2X 0 2X 0 2X X 2X X X X 0 X X X 2X 0 X X 2X 0 0 2X 0 0 2X X X 0 0 0 0 0 0 0 X 0 0 0 0 X 2X 2X 2X 0 0 X 0 X 2X X 2X 2X 2X 2X 0 0 0 2X 2X 0 0 2X 2X 2X 0 0 X 2X 2X X 2X 0 X 2X X 0 X 0 0 2X X X 2X 2X X X 2X 2X 0 2X X 0 0 X 0 X 0 X 2X 0 0 X X X X 2X X 2X X 0 0 0 0 0 0 0 0 X 0 0 X 2X 0 2X 0 0 2X 2X X X X 2X X 0 2X X 2X X 0 X 2X 0 X 0 0 2X X 2X 2X 0 0 0 0 2X 2X X 2X 0 X 2X X X X 0 0 0 2X 2X X 0 2X X 0 0 X 0 0 0 2X 0 X X 0 X 0 0 X 2X 2X 2X 2X X X 0 0 0 0 0 0 0 X 0 2X 2X X 0 2X 2X 2X 2X 2X 2X 0 X 0 0 2X 2X 0 2X X 2X 0 0 X 0 X 2X 2X 2X 2X X 2X 0 X X 2X 0 2X 0 0 0 0 0 2X 0 0 2X X X 0 X 2X X 2X 2X X X 0 X 0 0 0 0 X X 2X 0 0 2X X 0 X 2X 2X 2X 0 0 0 0 0 0 0 X 2X 2X 2X 2X 2X 2X X X X 0 2X 0 0 X 0 2X 2X 2X 0 X X 0 0 2X 0 X 0 2X 2X 0 X 0 X 2X 2X 2X 0 X X 2X 0 X 2X 2X 2X 2X 2X X 0 2X X 0 2X X 0 X 0 0 2X 0 0 2X 2X 0 2X 2X X 2X 2X 0 X 0 0 0 0 generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+36x^144+116x^147+210x^150+6x^151+250x^153+96x^154+198x^156+288x^157+174x^159+690x^160+194x^162+1302x^163+168x^165+1116x^166+136x^168+708x^169+144x^171+168x^172+128x^174+110x^177+108x^180+64x^183+46x^186+40x^189+28x^192+22x^195+10x^198+2x^204+2x^222 The gray image is a linear code over GF(3) with n=246, k=8 and d=144. This code was found by Heurico 1.16 in 1.7 seconds.