The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 1 2X 1 2X 1 X 1 1 2X X 1 1 X 1 1 1 1 2X 2X 1 X 1 1 1 2X 1 1 1 X 1 1 1 X 1 1 0 2X X 1 1 0 0 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 2X 0 0 0 1 1 0 1 0 0 0 0 2X 2X 2X 2X 2X 2X 0 X 2 1 X+1 1 1 2X+2 1 1 2X+2 X+2 1 X+1 1 2X+2 X+1 1 1 1 1 1 2 2X+1 0 X+1 X 2X+1 2X 2 2X+2 X 1 X+1 X 1 X 1 X+2 2X+2 1 1 2 1 1 2 1 2X 2X 1 2X 0 2X+2 X+2 2X+1 1 2X+1 2X 1 X 1 X 0 1 X+1 2X+1 2X+2 1 1 2X 2X 2X 2X X 0 0 1 0 0 1 2X+2 2X+1 1 2 0 2X+1 2 1 X 2X+1 X 2 X+2 1 2X 2 X+1 0 2X+2 X X 2 2X+1 0 2X+1 X+1 1 X+2 X 2X 2X 2X+1 2X+2 2X+2 1 2X+2 2X+1 X 0 X+1 1 2 1 X X+1 0 1 X+1 2X 2X 0 2 2X+2 1 X 0 X+1 X+2 1 2X+2 2X+2 2X+2 1 2X+2 2 1 X+2 1 X 2X+1 2X 2X+2 X+1 0 1 1 2X 0 1 2 0 0 0 1 1 X+1 2X+1 2 2 0 X+2 0 2 1 2X+2 X 1 X+2 1 X 2X+1 X X+1 X 1 0 X+2 2X+2 X X+2 2X+1 2X+1 2X+2 2X+1 2X+1 1 1 2X+2 X+1 0 2X+2 0 2X+1 1 X 2 1 X+1 X+2 1 X+2 2X+1 1 0 X+1 2X+2 2X X+1 X X+2 2X X+2 X X X+2 2X 2 X+1 X 2X+1 2X+1 2X+2 X+2 2 2 X 2X 2X 2X+1 X+1 2 0 1 1 2X+2 2 0 0 0 0 2X 2X 2X X X 2X X 0 X 2X X 0 2X X 2X 0 2X 0 2X 0 2X X 0 0 X 2X X 0 0 X 0 0 X 2X X 2X 2X X 0 X 2X 0 0 0 0 0 2X X 2X X 2X 2X 2X X 0 0 X X X X X 2X 0 0 2X 0 X 2X 2X X 0 2X 2X X X X 2X 2X X 2X 2X 0 generates a code of length 86 over Z3[X]/(X^2) who´s minimum homogenous weight is 159. Homogenous weight enumerator: w(x)=1x^0+768x^159+2054x^162+2476x^165+2626x^168+2694x^171+2696x^174+2332x^177+1764x^180+1172x^183+682x^186+264x^189+136x^192+18x^195 The gray image is a linear code over GF(3) with n=258, k=9 and d=159. This code was found by Heurico 1.16 in 60.4 seconds.