The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X X X 1 1 1 X X 1 1 X 1 1 1 1 X 1 0 0 1 1 1 1 1 X X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 2X 2X X 2X 2X 2X X X 2X X X X X 2X 2X X 2X X 2X X 2X 2X 0 X X 0 X X 2X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 0 X X 0 X 2X X 2X 2X 2X 0 2X 2X 2X 2X X 2X 2X 0 2X 0 2X 0 X 2X 0 0 0 2X 0 2X 0 2X 0 X 2X 2X 0 0 X 0 0 2X 0 X 2X 0 2X 2X X X 0 X X 2X 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 0 X X X 0 0 X X 2X 0 2X X 2X 2X X 2X 2X X 2X 2X X 2X X X 0 X X 0 2X 0 X X X 2X X X 2X X X 2X 2X X 2X 0 2X X 0 2X X 2X 2X X 2X X 2X 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 2X 0 0 X X 2X X 2X X 0 0 0 0 2X 2X X 0 X 2X 2X X 2X 2X 0 0 0 X 2X 0 0 2X 2X 2X 0 2X 2X 2X 2X 0 0 0 0 0 2X 0 2X 2X 2X 0 0 2X X 0 2X 0 X 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 0 X 0 0 X X 0 0 X X 2X 2X 2X X 0 X 0 2X 2X 0 X 0 2X 2X 0 2X 2X X 0 X 2X 2X 0 2X 0 X X X 2X 0 X 0 2X X 0 2X 0 2X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 0 X X 2X 0 0 2X 0 2X 2X X 2X 2X 0 0 X 2X 0 X 2X X 2X X X 2X X X X X 2X 2X 0 0 2X 0 2X 0 X 2X 2X X X X 0 2X 2X 2X X X 2X 0 0 0 0 2X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X X 2X 0 2X X 2X 2X 2X 0 0 X X 2X 0 X 0 2X 2X X X 0 X 2X X X 0 0 0 2X 2X 0 X 2X X 0 2X 2X 2X 2X 0 0 X 2X X 0 2X X 0 2X 0 X X X X 0 generates a code of length 70 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+68x^117+228x^120+6x^122+360x^123+30x^125+440x^126+192x^128+516x^129+744x^131+546x^132+1332x^134+512x^135+2460x^137+566x^138+3228x^140+572x^141+2736x^143+514x^144+1722x^146+508x^147+558x^149+476x^150+114x^152+480x^153+314x^156+224x^159+104x^162+78x^165+36x^168+14x^171+4x^174 The gray image is a linear code over GF(3) with n=210, k=9 and d=117. This code was found by Heurico 1.16 in 12.9 seconds.