The generator matrix 1 0 0 1 1 1 1 1 0 2X 1 1 1 1 1 1 0 1 1 1 1 0 2X 1 1 2X 1 1 0 1 1 1 1 1 0 0 1 2X 1 1 1 1 1 1 X 1 1 2X 1 1 2X 1 X X 1 1 1 1 1 1 X 0 1 1 2X 1 1 0 1 0 1 0 2 1 2 1 1 0 2X+1 2X+2 2X 1 2X+1 2X 2 0 X+2 1 1 1 0 2 1 0 2 1 2 X X+1 1 2X+2 1 1 X+2 X 2X+2 2X 2X+1 2X 1 1 1 2X X 1 2X+2 X+2 1 0 0 1 X+1 2X 0 X+1 1 X+1 1 X 0 0 1 0 2 0 0 1 2 1 2 1 0 2 2X+1 2 2X 2X+1 2X+1 1 2X+2 1 X+1 2X+2 2X+2 0 1 0 2X 2X X+2 X+1 0 2 2 0 2X X+1 2X+1 2X X+1 2X+2 1 X+1 0 2X+1 2X+2 X+1 2 1 2X 2X+2 X+1 X+1 0 X X+1 1 2 X+2 2X+2 X+2 0 0 0 2X+1 1 2X 1 2X+2 2X+2 X 0 0 0 2X 0 0 0 0 0 0 0 0 2X 0 0 X 0 2X 0 X 2X 2X 2X 2X 2X X 2X 2X 2X X 2X X X 2X 2X 2X 0 X 2X 2X 0 2X X 0 2X 2X 0 X X 2X 0 0 X X 0 2X 2X 2X X X X X 0 X 2X X X 0 0 0 0 2X 0 0 0 0 0 X 2X 0 2X 0 0 0 0 X 0 X 2X 2X 2X 2X X X 0 0 2X 2X X X 0 X 0 X 2X 2X 2X 2X X 2X 2X 0 0 X 2X 0 X X 0 X 2X X X 2X 0 2X 2X 2X X 2X 2X 0 2X X 0 0 0 0 0 X 0 X X 2X X 2X 2X 2X X 2X X 0 2X 2X 0 2X 0 0 2X 2X X X 0 X 0 0 0 0 2X 0 2X 2X X X X X 2X 0 0 2X X 2X X X 0 X X X 2X 2X 0 2X X X X 0 X X X X 2X 0 0 0 0 0 0 X X X X 0 0 2X X 0 0 2X X 2X 2X 2X X 0 0 0 2X 2X 2X X 2X 2X X 0 2X 0 0 X 2X 2X 0 0 0 2X 2X 2X X X 0 2X 0 2X X 0 2X 0 0 2X 2X 2X X X 2X 0 2X 2X X 2X generates a code of length 67 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+176x^117+258x^118+264x^119+590x^120+828x^121+594x^122+1048x^123+1686x^124+1044x^125+1708x^126+2400x^127+1440x^128+2486x^129+3870x^130+1902x^131+3134x^132+4608x^133+2274x^134+3320x^135+4470x^136+2178x^137+3020x^138+3888x^139+1722x^140+2212x^141+2610x^142+1032x^143+1202x^144+1188x^145+492x^146+452x^147+378x^148+156x^149+150x^150+60x^151+24x^152+84x^153+38x^156+38x^159+16x^162+2x^165+6x^168 The gray image is a linear code over GF(3) with n=201, k=10 and d=117. This code was found by Heurico 1.16 in 76.7 seconds.