The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 X 1 2X 1 X 1 1 0 1 1 X 1 0 2X 1 1 1 0 1 1 1 1 X 1 1 1 X 0 1 1 2X 1 1 2X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 0 1 0 1 0 0 0 2X 2X X 2X+1 2 X+1 X+2 2 1 2X+2 1 2 1 2X+2 2X 0 X+1 1 2X+2 1 1 X+2 1 1 X+1 0 2X+2 X X X+2 0 1 1 0 1 1 1 1 X 0 X 1 2X 1 0 1 X+2 2X+2 X+1 2X 1 2X 2X X+1 0 2X 1 2X 1 0 0 0 1 0 0 2X+1 2 0 2X+2 2 2X 2X 1 X+2 0 X+1 X+1 2 2 1 X+2 X+1 2X+1 2X+1 2X X+1 0 X+2 2X 0 2X+1 2X+2 1 X+1 X+2 2X 2X+1 2X 2X+1 X+1 1 2X 2 2X 1 1 X+1 2X+2 2 X+2 2X+2 2X+1 2 X+1 X X+1 1 1 2 2X+2 X+2 1 X+1 2 X+1 0 0 0 1 1 2X+2 2 2X+2 X+2 X+2 0 X 2X 0 2X+1 0 2X+2 X+1 X+1 X+2 2X 1 X+1 X+1 X+2 X+2 2X+2 X+2 2X+1 2X+1 2X+1 2X X 2X+1 2X+1 1 0 X X+1 2 X+1 2 1 2 2X X+2 2X+2 2X+2 2X 2X 0 X+2 X+1 2 X X 0 2X+2 X+2 1 1 X+2 2 1 X+1 0 0 0 0 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 2X 0 2X 2X 0 X 0 0 2X X X 2X X X 2X X X X X 2X X X 0 X 0 0 2X 2X 0 X X 0 X 0 X 2X X X 2X 2X X 2X 2X X 0 0 X 2X 2X X X generates a code of length 65 over Z3[X]/(X^2) who´s minimum homogenous weight is 117. Homogenous weight enumerator: w(x)=1x^0+284x^117+144x^118+234x^119+928x^120+444x^121+510x^122+1296x^123+636x^124+672x^125+1560x^126+624x^127+732x^128+1820x^129+672x^130+744x^131+1688x^132+696x^133+576x^134+1340x^135+642x^136+414x^137+1088x^138+306x^139+330x^140+614x^141+144x^142+120x^143+244x^144+66x^145+42x^146+52x^147+20x^150 The gray image is a linear code over GF(3) with n=195, k=9 and d=117. This code was found by Heurico 1.16 in 7.87 seconds.