The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 0 1 1 1 2X 2X 1 1 0 1 1 1 1 X 1 2X 1 1 0 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 1 2X 1 0 0 1 1 1 1 1 X 0 2X 1 X 0 0 1 1 1 2X 1 0 0 X 0 1 0 0 0 1 2 1 2X+1 2 2X+2 1 1 2X+1 1 2X+2 2X+1 X+2 1 X 1 0 1 0 X X 2 2X 2X+2 1 1 X+1 1 2 0 X+1 2X+1 2X 1 1 2X+2 2X X+1 X X+2 2 X X 2X 1 X+1 X 1 X+2 2 2X+2 X+1 2X 1 1 1 0 1 X X X X+2 X+1 1 X 1 1 X 0 0 1 1 2 2 2 1 2X 0 2X+1 2 2X+1 X+2 X+2 1 1 2X+2 X+1 1 2X X+2 0 2X+1 X 2 2X 1 X 2X+1 2X X+2 2X+2 2X+1 2X+1 1 X X 2 X X+1 2X+2 X+2 X+2 0 2 2X 2X+1 0 2 1 1 2X+1 2X+2 2X+2 0 0 2 X+2 2X 2X+1 0 2X 1 1 X+1 2X+2 2 1 X+2 2X 2X+2 1 0 0 0 2X 0 0 0 0 0 2X 2X X 2X 0 X 2X 0 0 X 0 0 X 2X 2X 0 0 2X X X X 2X 2X 2X 0 X X 2X X X X X 2X 2X 2X 2X X 2X 2X 0 0 X X 2X 2X 0 0 X X 2X X 0 X X 0 0 X 0 X 0 0 0 X X 0 0 0 0 X 0 X 2X 2X 2X 2X 0 X 2X X X 0 0 X X 0 0 X X X 2X 2X X 2X 2X 2X X X 2X X 0 X 0 2X 0 2X 2X 0 0 2X 0 X 2X 2X 2X X 0 2X X X 0 0 2X 2X X 2X 2X X 2X 2X 2X 2X X 0 X X X 2X 0 0 0 0 0 2X X X 0 X 0 X X X 2X 2X 2X 0 0 0 0 2X X 0 X 2X 2X X X 0 0 X 2X 2X 2X 2X X 0 X 0 0 2X 0 2X 0 X 2X X 0 0 2X X 0 X 2X X X 0 2X 2X 2X X 0 X 0 0 X X X 2X 0 X 0 generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+304x^132+1378x^135+2198x^138+2610x^141+2934x^144+3176x^147+2654x^150+2062x^153+1426x^156+650x^159+194x^162+68x^165+6x^168+10x^171+8x^174+4x^177 The gray image is a linear code over GF(3) with n=219, k=9 and d=132. This code was found by Heurico 1.16 in 7.42 seconds.