The generator matrix 1 0 1 1 1 1 1 1 0 1 1 2X^2+X 2X 1 1 1 1 1 2X^2+2X 1 1 1 2X^2 1 1 X 1 1 1 1 1 1 1 X^2+X 1 2X^2+2X X^2+2X 1 2X^2+X 1 1 1 1 1 1 1 2X^2 1 1 1 1 1 1 1 1 1 1 2X^2 X^2+X 1 1 X^2 1 1 0 X X^2+X X^2+2X 1 1 0 1 1 2 2X^2+X 2X^2+X+2 2X^2+2X+1 2X 1 2 2X^2+X+1 1 1 2X^2+2X+1 X+1 X 2X+2 X^2 1 2X+2 2X^2+X+2 2X 1 2 2X^2+1 1 2X X+1 2X^2+X X^2+X+2 2X+2 2X^2+X 2X^2+2X 1 X+2 1 1 X^2+2X+2 1 2X^2+2 2X^2 2X^2+2 X^2+1 X^2+2X 2X X^2 1 2 X^2+X+1 2X+2 2X^2 X^2+2X+2 2X^2+2 X 2X^2+2X+2 2X^2 2X^2+2 1 1 2X^2+1 X^2+2X 1 X+1 X^2+1 1 1 1 1 X+1 2X^2 0 0 2X 0 2X^2 2X^2 X^2 0 2X^2+2X X^2+2X X^2+X 2X^2+2X X^2+2X 2X^2+2X 2X^2+2X 2X^2+X 2X X^2+2X X^2+X 0 2X^2+2X 2X 2X^2+X 2X 2X^2 2X^2+X 2X^2+2X X^2 2X^2+2X X^2 2X 2X^2 X X^2 X^2+X X^2+X 2X 2X^2+X 0 X^2+X X 0 X^2+X X X^2 X^2 X^2+2X X^2 X 0 2X^2+X X^2+X X^2+X 2X X 2X^2+2X X 2X^2+X X^2+X X^2+X 2X^2 X^2+X X^2 2X^2+2X X^2+2X 2X^2+X 2X 0 2X^2+X 2X^2+X 0 0 0 X^2 X^2 0 2X^2 2X^2 X^2 0 0 0 2X^2 X^2 2X^2 0 2X^2 X^2 X^2 2X^2 0 0 2X^2 2X^2 0 0 2X^2 X^2 X^2 2X^2 X^2 2X^2 0 X^2 2X^2 2X^2 X^2 X^2 2X^2 0 0 0 X^2 2X^2 0 X^2 0 2X^2 X^2 0 X^2 0 2X^2 2X^2 X^2 2X^2 X^2 0 2X^2 0 2X^2 X^2 2X^2 2X^2 2X^2 X^2 X^2 2X^2 0 2X^2 generates a code of length 70 over Z3[X]/(X^3) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+300x^132+216x^133+522x^134+1758x^135+1116x^136+918x^137+2480x^138+1818x^139+1404x^140+2456x^141+1944x^142+1098x^143+1670x^144+666x^145+432x^146+578x^147+72x^148+92x^150+70x^153+38x^156+32x^159+2x^171 The gray image is a linear code over GF(3) with n=630, k=9 and d=396. This code was found by Heurico 1.16 in 1.42 seconds.