The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2X X 1 0 2X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 2X X 1 2X X 1 1 0 1 2X 1 1 0 1 0 X 1 1 1 2X 1 1 2X 0 1 0 0 0 0 2X 2X 2X+1 X+1 X+2 1 2X+2 X 2X+1 1 1 0 1 1 1 2X+2 2X X 2 X+1 X+2 1 X+2 2X 2 1 1 X+1 2 1 0 X+2 2X+1 2 1 2X+1 X+2 2 X+1 X 2X 2X 1 X+2 0 1 2X X 1 2X+1 1 0 2X 1 X X 1 2 2X+2 2 1 2X X+2 1 0 0 1 0 0 X 2X+1 2 2X+2 X+1 0 2X+2 2 X+1 X+2 X 1 1 2X+1 X+2 2X 1 X+1 2 0 X 2X+2 2X 1 X+2 2X+1 X+1 2X X+2 2 2X+2 2X 2X+1 X+1 2X+2 X 2 2X X+1 2X+1 X+1 1 1 2X+1 2X+1 1 1 X 0 2X 1 2 2 2 0 1 1 X 2X+2 2X+1 0 0 2X 0 1 0 0 0 1 1 2X+2 2X 0 X+2 X+1 0 2X+1 X 1 X 2 1 X+1 X X+1 X+2 X+2 2X+2 1 2 X+1 2X+2 X X 2X+2 X+1 2 2 X+2 2X+2 2X 2 0 2 2X+1 X+1 2X+1 X+1 2X+2 X 2X 2X+1 X 1 X+2 2 X X X+1 2X+1 2X+1 0 X+2 X+1 X 1 2X+1 2X+1 0 2X+1 X+2 2X+2 1 1 2X+1 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 0 0 X 2X 0 X X X X X X X 0 0 X 0 X 0 0 X 0 0 X 0 0 0 2X 2X 0 X X 2X X X X X 0 2X 0 2X 2X 0 X 0 2X X 2X 2X 0 0 0 2X X generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 127. Homogenous weight enumerator: w(x)=1x^0+252x^127+462x^128+138x^129+798x^130+900x^131+300x^132+1020x^133+1068x^134+338x^135+1296x^136+1290x^137+318x^138+1290x^139+1308x^140+296x^141+1338x^142+1332x^143+310x^144+1086x^145+1194x^146+228x^147+858x^148+714x^149+116x^150+522x^151+330x^152+90x^153+246x^154+114x^155+36x^156+42x^157+30x^158+8x^159+6x^161+6x^162+2x^171 The gray image is a linear code over GF(3) with n=210, k=9 and d=127. This code was found by Heurico 1.16 in 7.63 seconds.