The generator matrix 1 0 0 1 1 1 1 1 1 1 1 0 2X 1 1 1 2X X 1 1 1 1 2X 1 2X 1 1 1 1 1 1 1 0 0 1 2X X 1 0 0 1 X 1 2X 1 2X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X X 0 1 1 1 1 1 0 1 0 0 X 2X+1 2X+1 1 2X+2 2 2 1 0 X 1 2 1 1 2X+2 2X+2 0 X+1 1 2X 1 2 2X+2 X 2X+1 X+1 X+2 0 1 1 1 2X 1 2X 0 2X X+1 1 1 0 2X+2 1 2X X X+2 2X X+2 1 2X+2 1 2X 0 1 0 X X+1 2X 2X+1 1 1 X 2X+2 X+2 X+2 X+1 0 0 0 1 1 2X+2 2X X+2 X+1 2X+1 2 0 0 1 2X+2 2 X+2 2 X+1 1 X X+1 2X X+2 2X+2 X 2X 1 X+2 2 X+1 2X 0 X+1 2X 2X+1 1 1 X 1 1 X+1 1 2X+2 1 X+2 2X+1 2X X+1 X X 2X+1 2X+1 2X 1 2 2 2X+2 X+1 1 2X+1 2X+2 2X X 2X+1 1 2 X+2 2X+2 2X+1 X 0 0 0 2X 2X 0 2X 2X X X 2X 2X X X 0 0 2X 0 2X 0 X 2X 0 X X X X 0 X X 0 2X X 2X 2X 0 0 X 2X X 0 2X 0 0 0 X 2X X 2X 0 2X 0 0 X X 0 X 2X 0 X 2X 2X 2X X 2X 0 X 2X 0 2X 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+68x^132+186x^133+108x^134+152x^135+240x^136+168x^137+172x^138+192x^139+72x^140+138x^141+96x^142+42x^143+72x^144+90x^145+18x^146+50x^147+72x^148+42x^149+38x^150+42x^151+12x^152+20x^153+48x^154+12x^155+6x^157+12x^158+14x^159+2x^162+2x^171 The gray image is a linear code over GF(3) with n=210, k=7 and d=132. This code was found by Heurico 1.13 in 0.0898 seconds.