The generator matrix 1 0 0 1 1 1 1 1 1 2X 0 1 X 1 1 1 1 1 1 X 1 1 X 1 1 1 X 1 X 1 1 X 1 0 1 1 0 1 1 X 1 1 1 1 X 1 1 0 1 2X 1 1 1 1 1 1 1 1 2X 2X X 2X 1 1 2X X 1 1 1 X 0 1 0 0 X 2X+1 1 2 2X+1 1 1 2 2X 2X+1 1 1 X+2 2X+2 X 1 X 2X+2 1 1 0 X+2 1 1 0 0 2X+1 1 2 1 2X+2 2 2X 2X X 2X 1 2 2X+1 X 1 X+1 X+2 1 X 1 X+1 X+2 1 X+1 2X 2X+2 X+1 2X 1 1 1 1 1 2X+1 1 1 X+2 2X+2 2X+1 1 0 0 1 1 2X+2 X+2 X+1 0 2X 2X+1 2X+2 X 1 2 1 2X 2X+1 2 X 0 X+2 X+1 X+2 1 X+1 2X+2 2X+1 X+2 1 2X+1 1 X+2 2 X X 2X 1 0 1 1 2 2X 2X+1 0 2 X+1 2X+2 0 1 X X+2 X+2 2 2X+1 0 X 2X+2 2X X 2X+2 2 X+1 2X+2 1 2X+2 0 1 0 2X 1 0 0 0 2X 2X 2X 2X 2X X 2X 2X X 2X 0 X 0 X 2X 2X 2X 0 2X 0 0 0 X 0 X X 2X 0 2X X 0 0 X 2X 0 X X 0 2X X 2X X 0 2X X 0 0 X 0 2X 2X X 2X 0 0 2X X 0 0 X X 0 X X 0 2X X generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 133. Homogenous weight enumerator: w(x)=1x^0+198x^133+240x^134+74x^135+240x^136+264x^137+76x^138+192x^139+174x^140+14x^141+78x^142+84x^143+40x^144+78x^145+78x^146+10x^147+84x^148+66x^149+4x^150+48x^151+36x^152+18x^153+42x^154+18x^155+2x^156+12x^157+12x^158+2x^162+2x^174 The gray image is a linear code over GF(3) with n=210, k=7 and d=133. This code was found by Heurico 1.16 in 25.5 seconds.