The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 0 1 X 1 X 1 1 1 1 1 0 1 1 0 1 1 1 1 2X 1 1 0 1 X 1 1 1 2X 0 1 X 1 1 0 1 1 X 1 1 1 1 0 1 0 2X X 1 1 1 1 1 X 2X 1 1 0 0 0 1 0 0 1 2 1 2 1 1 0 2X+1 2X+2 1 0 1 2 1 2X X+2 X+2 1 2X+1 0 X 2X+1 1 2X+1 X 1 X 2X X+2 2X+1 1 1 1 2X+2 0 1 2X 1 X+2 1 2 X+1 1 X 2X 1 2X+1 2X X+1 2X+2 1 2 1 1 0 2 X+2 X+2 X 0 1 1 0 1 1 1 0 0 1 1 2 2 1 0 2 2X+1 2 2X 2X+1 X+2 0 X X+2 1 X+1 2X+1 X 2X+1 2 1 X+2 2X 2X+1 1 X+1 2X+2 2 1 2X+1 2X+2 2X X 2 2 X X 1 1 2X+2 0 X 2X+1 X+2 0 1 1 2 2 2X+2 2X+2 0 2 2 2X 1 0 X 2X+2 2X+1 2X+2 1 X+1 0 2X 2X+1 X 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 0 0 0 2X 2X 0 0 2X X X 2X 2X X 2X 2X X X 2X X 2X 0 2X 2X 2X 0 X X 0 2X 2X 2X 2X 0 2X X 0 0 2X X 2X 2X 2X X X 2X 0 X 0 X X 2X 2X 0 X 2X 0 0 0 0 2X 0 0 0 0 0 X X 0 X 2X X 2X X 2X X X 2X X 2X X X 0 2X 0 X 0 0 0 X 0 X 2X X 0 2X 0 0 2X X 0 2X 2X 0 2X X X X 0 2X 0 0 2X 2X 0 X 0 X X 2X X 0 2X 0 X 2X 0 0 0 0 0 X 0 X X 2X X 2X 2X 0 X X 2X X X X 0 2X 2X X 2X 0 0 X 2X 2X X X X 0 0 0 2X X X 2X 0 0 X 2X 2X 2X 0 2X 0 X 0 0 0 0 2X X 0 0 2X 2X 0 X 2X 0 2X 2X X 2X 2X X 0 0 0 0 0 0 X X X X 2X 2X X 0 X X X 0 X 0 2X 0 X 0 0 2X X 0 0 2X X X 2X 2X 0 X 0 2X 2X X 2X X 2X 0 2X X 0 X X X 2X 0 2X 0 0 0 2X X X 2X 2X 0 2X X 2X 2X X X X 0 generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 122. Homogenous weight enumerator: w(x)=1x^0+36x^122+330x^123+114x^124+270x^125+864x^126+378x^127+630x^128+1868x^129+888x^130+984x^131+2950x^132+1296x^133+1428x^134+4200x^135+1746x^136+1968x^137+4890x^138+2310x^139+2232x^140+5414x^141+2322x^142+2010x^143+5342x^144+1998x^145+1788x^146+3546x^147+1356x^148+1080x^149+1978x^150+534x^151+498x^152+902x^153+144x^154+150x^155+306x^156+36x^157+42x^158+106x^159+6x^161+46x^162+26x^165+18x^168+12x^171+2x^174+4x^177 The gray image is a linear code over GF(3) with n=210, k=10 and d=122. This code was found by Heurico 1.16 in 93.1 seconds.