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 X 1 1 1 1 1 1 1 1 X X 1 X 1 1 X 1 1 X 1 X X 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 2X 2X X 2X X 0 2X X 2X 2X 0 X 0 0 2X X X X 2X 2X 0 X X 2X 2X 0 X X X 2X X X 2X 0 X 0 0 X 0 2X 0 2X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 0 0 2X 2X 2X X 2X X X X X X 2X 2X 2X 2X 0 0 2X X X 2X X X 2X X X 2X X X 0 X 2X 0 0 X X 0 X 2X 2X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 2X 2X 0 2X X X 0 X X 0 X 0 2X X X X 0 2X X 2X 2X 2X 0 0 2X X 0 X X 2X 0 2X X 2X 0 0 0 0 0 2X X X 2X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 0 2X 0 X 0 0 X 2X 2X X 0 X 0 2X 0 0 X X X 0 2X 2X 0 2X X 0 X 0 X 0 2X 2X 2X 2X 2X 2X 0 X 0 2X 2X 2X 0 0 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X 2X 0 2X 2X X 2X 2X 2X 2X 0 0 2X 2X 0 X X X X 0 X 0 2X 0 X 0 X X X 2X 2X 0 0 X 0 2X 0 2X 2X X 0 0 2X X 2X X 0 2X X 0 0 0 0 0 0 0 X 0 0 2X 2X X 2X 0 X 0 2X X X 0 2X X X 0 2X 0 2X 2X X 2X X 0 0 2X X 0 X 2X 2X 2X 0 X 2X X 2X 0 0 X 2X 0 2X 0 X X 2X X 2X 2X X X X 0 0 0 0 0 0 0 0 X 0 2X X 2X 0 2X X 0 X X X X 2X 2X 0 2X 0 0 0 2X 0 X 0 2X 2X 2X 2X 0 X 0 0 0 2X 2X X 2X 2X 2X 2X 2X 0 0 0 X 0 2X 2X X X X 2X 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X 2X X 2X 0 X X X 2X X 2X 2X 2X X X 2X X X 2X 0 0 0 2X 2X 0 0 X 0 2X 2X 2X 2X 2X 0 0 X 2X X 2X X 2X 2X 0 X 0 0 0 X 2X 0 generates a code of length 62 over Z3[X]/(X^2) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+58x^96+222x^99+422x^102+656x^105+870x^108+1198x^111+1964x^114+4290x^117+8530x^120+12724x^123+12734x^126+7986x^129+3270x^132+1404x^135+1076x^138+784x^141+420x^144+206x^147+136x^150+64x^153+22x^156+10x^159+2x^162 The gray image is a linear code over GF(3) with n=186, k=10 and d=96. This code was found by Heurico 1.16 in 88.2 seconds.