The generator matrix 1 0 1 1 1 1 1 0 X 1 1 1 1 1 0 1 2X 1 1 1 1 1 1 1 1 1 0 1 1 2X 1 1 1 0 X 1 1 1 1 1 1 X 1 X 2X 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 0 2X+1 2 1 1 X 2X+1 2 2X+1 0 1 2X 1 2X+1 X+2 X+1 2 X+2 X+2 X+1 0 2 1 X+1 2X+2 1 2X+1 2X 2X 1 1 2 0 X+2 1 X 2X 1 2X+1 1 1 X+1 2X+1 2X+1 X+1 X+1 2X+2 1 1 X+1 X+2 2 2 X+2 0 0 2X+2 X X+1 2X 2X X+2 2X+2 X 2X X 0 0 2X 0 0 2X 0 X 2X 0 X 0 X X 0 2X 0 2X 0 2X X 2X X 2X X 2X X 0 X 2X X 0 2X X 0 2X 0 0 X 0 X 2X 0 0 2X X 2X 2X 0 X 2X 0 0 0 2X 2X X 0 X 2X 2X 2X X 0 2X X X X X 0 0 0 0 X 0 2X 2X 2X X 0 0 2X X 2X 0 X 0 2X X 0 2X X 2X 0 0 X 0 2X X 0 0 X 0 X X 2X 2X 0 X X 2X 0 0 2X 2X 0 X X 2X 2X 0 2X X 0 2X X X 2X 0 2X 2X 0 2X 2X X 0 X X X 2X 0 0 0 0 X X X 0 0 2X 2X 2X 0 2X X X 2X 2X X 2X 0 X 2X X 2X 0 2X 2X 0 2X 0 X 0 2X 2X 0 X 2X 2X 2X X 0 0 0 X X 0 X X 0 0 X 0 2X X X X X 0 2X X 2X 2X 2X 0 0 2X X 0 X generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 132. Homogenous weight enumerator: w(x)=1x^0+256x^132+512x^135+412x^138+322x^141+238x^144+204x^147+152x^150+66x^153+12x^156+6x^159+2x^165+2x^171+2x^177 The gray image is a linear code over GF(3) with n=210, k=7 and d=132. This code was found by Heurico 1.16 in 0.209 seconds.