The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 2X X 1 1 1 1 0 1 1 X 1 1 1 2X 0 X X 1 1 1 1 0 1 1 2X 1 1 X X 2X 0 1 1 2X 0 1 1 1 1 1 1 1 1 0 1 1 1 X 2X 1 0 1 0 0 2X 0 X X 2X 2X 2X 2X 2X+1 1 1 X+2 2X+1 X+1 2 2X+2 2X+1 1 1 2X+1 X+1 2 2X+2 1 2X+2 X+2 1 X+2 2 X+1 1 1 0 1 X X+1 0 X 1 1 2X+1 1 0 2X 1 2X 1 0 X 0 1 1 2X+1 2X+2 1 0 X+2 2 X 2 2X 2X+2 2X 2X 1 1 1 0 0 1 0 0 X 2X+1 2 2X+1 2 X+1 X+2 2X+2 2 X 2X+2 2 1 X+2 X+2 2X X+1 0 1 2X+1 X+1 2X+1 2X+1 0 X 2X+1 2X 1 0 2 X+2 1 2 X+1 2X+2 X+2 2X X 2X 2X+1 X+1 2 1 X+2 1 X 2X 0 X 2X X+2 X+1 1 X+2 X+2 2X+2 2X+2 0 2X+1 1 1 X+2 2X+1 2X X+2 0 0 0 0 1 2X+1 2X+2 2X+1 1 2X+2 0 X 2 X+2 X+1 2X+2 X+1 2X 2X+1 X+2 0 X 2X+1 X+1 2X+2 X 0 X+1 2X+2 1 X 2X 2 2 2X+2 X+2 2X+1 X+2 0 X+1 1 2X 2X+2 2X 1 2 X+1 X+1 2X+2 2X+1 X+1 X+2 1 2X 2X+1 2X+2 X+2 X+1 X+2 0 2 2X+1 X X 2X X+1 2X 2X X+1 2X+2 0 1 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+378x^132+1180x^135+1248x^138+996x^141+902x^144+642x^147+528x^150+344x^153+246x^156+78x^159+12x^162+6x^165 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 0.75 seconds.