The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 0 1 1 1 X 1 0 1 1 1 1 1 X 2X 1 1 1 1 X 1 0 2X 1 1 1 1 1 1 1 0 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 2X 1 2X 1 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 1 2X 1 0 1 0 X+2 2X+2 2X+1 1 2 2X X+1 1 X+2 1 2X+2 2X+1 X+2 2X+2 X+1 X 1 X+1 2X 0 2X+1 1 X 1 1 X+1 X X+1 0 2X X+1 2X 1 X+2 X+1 2X+2 1 1 X+2 2 2X 0 2X+1 2 X+2 1 1 1 1 X+1 X X+1 1 2X+1 1 1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 1 2X+1 2X+1 X+1 X+2 1 2X+2 2X 2X X 2X+1 2X+2 2X+2 X+2 0 1 X+2 X+2 2X+2 X+1 2X+1 1 X+2 X 2X X+2 X X 1 X+1 X+2 X+1 2X 0 1 2 1 0 1 2 2 X 2X 2X+2 2X 0 2X+2 X+2 1 X+1 2X+1 0 2X X+2 X 2 0 2X+2 X+1 0 2X+2 1 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 0 2X 0 0 X X X X 0 0 0 X 0 2X 2X 2X 0 X 2X X X X 0 2X 0 0 0 X 0 0 X 0 2X X X 2X 0 X X X 2X 0 2X X 2X 0 2X X X 2X 2X 2X X 2X 0 0 0 X 0 X 2X 2X generates a code of length 85 over Z3[X]/(X^2) who´s minimum homogenous weight is 162. Homogenous weight enumerator: w(x)=1x^0+218x^162+582x^165+474x^168+292x^171+192x^174+174x^177+90x^180+84x^183+48x^186+12x^189+6x^192+6x^195+8x^198 The gray image is a linear code over GF(3) with n=255, k=7 and d=162. This code was found by Heurico 1.16 in 0.19 seconds.