The generator matrix 1 0 0 1 1 1 1 X 1 1 2X 1 1 1 0 1 1 1 1 1 2X X 1 1 1 2X 1 0 1 1 1 1 1 1 1 2X X X 1 1 0 1 1 1 0 1 X 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 2X+1 1 1 2X+2 2X+1 1 2 2 X 2X X 2X X+2 X+1 2X+2 1 1 X+1 2X+2 1 1 X+2 1 X 2X+1 X+1 2 2 X+1 0 1 1 1 X 2 X 2X 2X 2X 1 X+2 0 1 2 X+2 2 X X+1 1 2 2X+2 0 0 2X+2 0 2X+1 0 2X 1 X+1 2X+2 1 2 1 1 X 0 0 1 1 2 2X+2 1 X+2 2X+1 2X 1 X X+2 X+2 1 X+1 0 1 2X 0 1 0 1 X+2 X+2 2X+2 1 1 X+1 2X+2 0 2X+2 X X+1 2 0 2X+2 2X X X+1 1 2X+1 2 X X+2 2X+2 1 0 2X 2X+2 2 X+2 X+1 2X 2X+2 0 X 2X 2X X+2 0 X 2X+1 1 1 1 2X+1 2 0 X 0 0 0 0 2X 0 0 0 0 0 2X X 0 0 0 X X 2X X X 0 2X 2X 2X 2X X 2X 0 X 0 0 2X X X 2X 2X X 0 0 X 2X 2X X X 2X X 2X 0 2X 2X 2X X X X 2X 0 2X X 0 0 2X 2X X X X 0 2X 2X X X 0 0 0 0 0 0 X X X 0 X 0 X 0 2X 0 X X 0 X X 2X 2X 2X 2X X X 0 0 0 2X 2X X 0 X 0 X 2X 2X X 0 2X X 2X 0 2X X 0 2X 0 X 2X 2X 2X 0 X X 2X 0 2X 0 0 2X 2X 0 2X 2X 0 2X 0 0 X 0 generates a code of length 71 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+430x^132+1094x^135+1230x^138+1040x^141+892x^144+666x^147+558x^150+402x^153+114x^156+92x^159+30x^162+6x^165+4x^168+2x^171 The gray image is a linear code over GF(3) with n=213, k=8 and d=132. This code was found by Heurico 1.16 in 0.733 seconds.