The generator matrix 1 0 0 0 0 1 1 1 2X 0 2X 2X 1 1 2X 1 1 1 1 X 1 1 1 1 X 2X 1 1 1 1 2X 1 1 2X X 1 1 1 1 1 1 1 1 1 2X 1 1 1 2X X 1 0 X 1 1 2X 1 1 1 1 0 1 X 1 2X X 0 1 0 0 0 0 0 0 0 1 1 1 X+2 2X+2 1 X X+2 X+2 X+1 X X 2 X+2 2X 2X 0 2X+1 2 2X+2 X+1 1 2X+1 1 1 1 2X 2X 2X+1 X+2 0 2X+1 X+2 X+2 2X+2 1 1 1 X+1 1 1 2 X 1 2X+2 2X+1 1 2X+1 X+2 X X+2 1 X+1 X 2X+1 0 1 0 0 1 0 0 0 1 2X+1 1 1 2X 2X+1 X+1 2X 2X+2 X+2 0 2 2X+2 1 1 X+1 X+1 2X 1 1 1 X+1 X X+1 X+1 0 2X 2X+1 2X+1 0 2X+2 0 X+2 1 2X 2 2X+2 X X X+1 2X 0 X 2 2X+2 0 X+1 2X+1 2X+2 2X 1 2X+2 2X+1 0 2X+1 2X+1 0 1 1 2X+1 0 0 0 1 0 1 1 2X+2 X+1 X+1 2X+1 X+2 X+1 0 2X+2 0 2X 2 2X 2X+2 2X 2X+2 X 2X+2 0 X+2 2X+1 0 2 X+1 X+1 2X+1 X+1 X+2 X X+1 X+2 X+2 X+1 2X+1 2X 2X+2 2X 2X+1 2X+1 X+2 1 2X+2 2X 2X X+1 1 2X+1 1 2X+2 0 2 2X+2 2X+2 1 2X 0 1 X 2X+1 2 0 0 0 0 1 2 X 2X+2 2 X X+2 2 2 2 0 X+2 X+1 1 2X 2X 2X 0 2X+2 0 2X+2 1 X+1 2X 2X 2X 2 2X X+2 X X+1 2X+1 0 X+1 2X+2 2X+1 2 X 1 2X+2 2X+1 1 X X+1 1 1 2X+1 X+2 X+1 2 X+1 0 X X+2 X+1 0 0 X 2X+1 X+2 X+1 1 0 0 0 0 0 2X 0 2X 0 0 2X 2X 0 0 0 2X 0 0 2X 2X X 2X X X 2X X 2X 0 0 X X 0 X X 0 0 X 2X 0 2X 2X X X X 0 X X 0 2X X X X 0 2X 2X 2X 0 0 X 2X 0 2X X 0 2X 0 generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 114. Homogenous weight enumerator: w(x)=1x^0+230x^114+618x^115+546x^116+1132x^117+2190x^118+1332x^119+2474x^120+4002x^121+2082x^122+4202x^123+7074x^124+3870x^125+6658x^126+9624x^127+5634x^128+9004x^129+12270x^130+6822x^131+10232x^132+13770x^133+7086x^134+9938x^135+12342x^136+5844x^137+7596x^138+9186x^139+3558x^140+4686x^141+4920x^142+1800x^143+2042x^144+2082x^145+636x^146+678x^147+570x^148+120x^149+134x^150+78x^151+36x^152+14x^153+6x^154+10x^156+8x^159+6x^162+2x^165+2x^168 The gray image is a linear code over GF(3) with n=198, k=11 and d=114. This code was found by Heurico 1.16 in 503 seconds.