The generator matrix 1 0 0 1 1 1 1 1 1 1 2X^2 1 2X^2+X 1 1 1 X^2+X 1 1 1 X^2 1 2X^2+X 1 2X^2+X 1 X 1 1 1 1 1 1 2X 1 1 X^2 2X^2 1 1 2X^2+X 1 1 1 1 1 1 1 1 X^2+X 1 1 1 1 1 1 1 1 2X 0 X^2+X 1 1 1 1 0 2X 1 1 1 0 1 0 0 X^2 2X^2+2X+1 2X+1 X+2 2X^2+X+1 X^2+X+2 1 2 1 2X^2+X 2X^2+2X+2 X^2+2X+1 1 2X+2 X^2+2X+1 2X^2+1 1 2X^2+X+2 2X^2+2X 2X^2 1 2X^2+2X 1 2X+2 2X+1 2X^2+2X+2 2X^2+X+2 2X^2+X X^2+1 1 X^2+X X^2 1 1 2X^2+1 2X^2+X+1 X^2+X X 2X^2+X+2 2 X^2+2 X^2+2X X^2+1 X^2+2X X^2+X+2 1 X^2+1 2X^2+2 X^2+1 2X^2+2X 2X^2+X+1 X^2+2X X^2+X+1 X^2+2X+2 2X^2 1 1 2X^2+2X 2X^2+2X 1 2X^2+2X+1 1 1 2X X^2+X 2X^2+X+1 0 0 1 2X^2+2X+1 2X^2+2 X^2+2 2X+1 X^2+X 2X^2+X X^2+X+2 2X^2+1 X+1 2X^2+2X+2 2X^2 2X^2+2X+1 X^2+2X 2X^2+1 2X X^2+2X+2 2X^2+X+1 2X^2+X+2 2X^2+2 1 X+1 2X^2 2X^2+2 X+2 X^2+2 2X^2+1 2X^2+X+1 X^2 2X^2+X X^2+X+2 2X^2+2X+1 X+1 2X+2 2X^2+X 2X^2+X+1 X^2+2X+1 2X^2+2X 1 X^2+1 X^2+2X+2 2X^2+2X+1 X^2+X 2X+2 X^2 X^2+X+1 2X X^2+X 2X^2 X^2+2 X^2+2X X+1 2X^2+2 X^2+2 X^2+2X+1 X^2+2X+2 1 X^2+2X 2X^2+X+1 X^2+2X+1 2X^2+2X+1 X^2+2X+1 X^2+X+2 X+1 2X+2 X^2+X+1 2X^2+X+2 X+1 0 0 0 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 2X^2 0 2X^2 0 2X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 2X^2 0 X^2 X^2 2X^2 X^2 0 0 X^2 X^2 0 2X^2 X^2 2X^2 2X^2 X^2 0 X^2 X^2 2X^2 0 X^2 2X^2 0 2X^2 X^2 2X^2 2X^2 X^2 X^2 X^2 0 0 2X^2 X^2 2X^2 X^2 0 0 2X^2 0 X^2 0 2X^2 2X^2 2X^2 0 0 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+1052x^132+1206x^133+2070x^134+4618x^135+2862x^136+4302x^137+6586x^138+4086x^139+4986x^140+7380x^141+3438x^142+4140x^143+5142x^144+2322x^145+1692x^146+1848x^147+612x^148+306x^149+248x^150+54x^151+56x^153+26x^156+14x^159+2x^162 The gray image is a linear code over GF(3) with n=630, k=10 and d=396. This code was found by Heurico 1.16 in 58 seconds.