The generator matrix 1 0 0 1 1 1 1 0 1 2X 1 1 1 X 1 1 1 1 1 0 1 1 X 0 1 1 1 1 2X 1 1 1 1 1 1 1 0 1 1 1 1 X X 1 2X 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X X 1 1 1 2X 1 1 0 1 X 0 1 1 1 1 1 X X 1 X 1 0 1 0 0 0 1 1 1 2X+1 1 2 X+2 2X+2 1 X 2X 2 2X+1 X+2 1 1 2X+2 1 X 1 X 0 2X+1 2X 2X+2 2X+2 0 1 2X 2X+2 2X 1 2 2X+2 X+2 2X+1 2X 1 2X+1 1 0 2 1 0 1 X X+1 0 2X X 1 2 1 2X+1 2X 1 1 X+2 X 2X+1 X X+2 2X+1 1 1 2X 1 0 2X+2 X X X+1 1 1 2X 1 2 0 0 1 1 2 2 X+1 X+2 2X 2X+1 0 2X+2 2X+1 X+2 2X 2X+1 2 2X 2X 2X+1 2X+2 2X+1 2X 1 2X+1 2X+2 0 X+1 1 0 2X+2 X+2 X+2 X+1 2X+1 X+1 2X+2 0 X 2X+2 1 1 2X 2X+2 2X 2 1 X X X+2 X+1 2X+2 2X 2 X+1 X+1 2 2X+2 X 1 0 X+2 X+1 2 0 1 2X+1 2 2X+1 2 1 2X+2 X+2 0 X X+2 2X 2X+2 2X+2 2X+2 2X 2X 0 0 0 2X 0 0 2X 0 2X 2X 0 0 X 0 X X 0 X 0 X X 2X 2X 2X 2X 0 0 X 0 0 X X X X X X 2X X 2X 0 0 0 2X 2X 0 2X 2X 0 X 2X 0 0 2X 2X X 0 2X 2X 2X 2X X 0 0 2X 0 X 2X 2X 0 0 2X X X 2X 0 2X X 0 X 0 2X X 0 0 0 0 X 0 0 0 0 2X X X 0 0 0 2X X 2X X X 0 2X X X X 0 0 0 X 2X X 2X 2X X X 0 X X 0 0 0 2X 2X 0 2X 0 2X 2X X X 0 X X X 0 X 0 0 X X 2X 2X 2X X X 0 0 2X 2X 0 2X 2X 0 2X 2X 2X 0 X 2X 2X 0 X 0 0 0 0 0 2X 0 2X 0 0 X X 2X X 0 0 2X 0 2X 0 2X X X X 2X X 2X 0 X X X 2X X 0 0 X 0 2X 0 2X 0 2X 2X X 2X 2X 2X 0 X 0 0 2X 2X 2X 2X 0 X 2X 0 2X 0 0 X X 0 2X 2X 2X 0 0 2X X X 2X 2X X 2X X 2X 0 X 0 generates a code of length 82 over Z3[X]/(X^2) who´s minimum homogenous weight is 150. Homogenous weight enumerator: w(x)=1x^0+542x^150+1328x^153+2168x^156+2792x^159+2818x^162+2884x^165+2484x^168+1976x^171+1452x^174+826x^177+272x^180+86x^183+16x^186+20x^189+12x^192+2x^198+4x^201 The gray image is a linear code over GF(3) with n=246, k=9 and d=150. This code was found by Heurico 1.16 in 14.4 seconds.