The generator matrix 1 0 0 0 0 1 1 1 2X 1 1 1 1 1 0 1 0 1 1 1 X 1 1 X 1 0 0 1 2X 1 1 1 1 1 1 X 1 2X 2X 1 1 1 1 2X 1 1 1 1 1 1 1 0 2X 1 1 1 1 1 2X 2X 0 1 1 1 2X 1 1 0 1 0 0 0 2X 1 2X+1 1 0 X 2X+2 2 1 1 2X+2 1 1 2 X+2 1 2X+1 2X+2 1 1 1 X 2 1 X 2X+1 2 2X+2 0 2X+1 1 0 0 2X 0 1 2X+2 2X+1 1 0 X+1 X 1 2X+1 2X 1 1 1 X+2 X+1 2X 2X+1 X+1 1 2X 1 2X+2 0 1 X 2 X 0 0 1 0 0 0 0 0 0 X X X X 2X 2X 2X X 2X 2X 2X+1 2 2X+2 2 2X+2 2X+2 1 1 2X+2 2 2X+2 2X+1 1 2X+1 1 2X+1 2X+2 1 1 1 X+1 X+2 X 1 2 2 2 2 1 2 2 X 2X+1 X+2 2X+1 2X+1 1 1 0 X+2 1 2 1 0 2X 1 X 2X+1 0 0 0 1 0 2X+1 1 2X+2 X+1 X+1 X+2 2X 2X+1 0 2 X+2 2 2X 2X+2 1 0 2X+1 X 2 2X X 0 1 2X+1 X 2 X 2X+2 1 X X+1 2 X+2 1 X 2X+2 X+1 X+2 X+2 1 2 X+2 2X 1 2X+1 2X+1 2 X 2X 0 2 2X+2 2X+2 2X 2X+2 X X+2 2X+2 0 X 2X 2X+1 0 0 0 0 1 2X+2 X X+2 X+2 2X+1 X X+1 2X X+1 2X+1 2X+2 0 0 2X 2 2X+1 2X+1 2X 2 2X+2 X 1 0 X+1 1 X+1 X+2 0 X 2 2X+2 1 X+2 2 X+2 2X+2 1 2X 0 X+2 0 1 1 0 X 2 1 X+2 2X 2X X+2 X 2X 1 X+1 2X 2X+1 2X+1 X+2 2 0 2X+1 generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 118. Homogenous weight enumerator: w(x)=1x^0+114x^118+246x^119+528x^120+858x^121+720x^122+1286x^123+1644x^124+1482x^125+1782x^126+2250x^127+2022x^128+2642x^129+3006x^130+2736x^131+3020x^132+3384x^133+2754x^134+3012x^135+3552x^136+2982x^137+3016x^138+3282x^139+2358x^140+2250x^141+2172x^142+1416x^143+1422x^144+1080x^145+546x^146+522x^147+396x^148+198x^149+174x^150+126x^151+36x^152+20x^153+6x^154+6x^156+2x^159 The gray image is a linear code over GF(3) with n=201, k=10 and d=118. This code was found by Heurico 1.16 in 52.2 seconds.