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 1 1 1 1 1 X 1 X X 1 1 1 X 1 1 X 1 1 1 X X 1 1 X 1 1 1 X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 2X 2X 2X 2X X 2X X X X 2X 0 0 2X X X 2X 0 2X 0 X 0 2X X 2X 2X 0 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X X 2X X 2X 0 X 2X 0 2X X 2X 0 2X 2X 0 2X 0 X 2X X 2X X X 2X 2X X 0 0 2X X 2X X 2X 0 2X 2X X 2X 0 0 X 0 0 X 0 2X 0 0 2X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 2X 2X 2X 2X X 0 X 2X X X 0 X 0 2X X 0 2X X X 2X 0 0 X X 2X 0 0 X 0 X X 0 0 2X 0 2X 0 X 2X 2X 0 X 2X 2X 0 2X X X 0 0 0 0 0 0 X 0 0 0 0 0 X X 2X 2X 2X 0 2X 2X 2X 2X X X 2X 0 0 2X 2X X X X 0 0 2X 0 0 X X 2X 0 2X X 0 0 2X 2X X X X X 0 0 X 2X 2X X 0 X 0 2X 0 X 0 2X 0 2X 0 0 0 0 0 0 X 0 0 0 X 2X 2X 2X X X 0 2X 2X X X 0 0 2X X X 2X X 0 0 X X X X X 0 2X X 2X 0 0 2X 2X 2X X 0 X 0 2X 2X 2X 2X X 0 0 0 2X 0 X X 2X X 2X 2X 2X X 0 0 0 0 0 0 0 X 0 0 2X 2X X X 0 2X 2X 2X 2X X 2X 2X 0 0 X 2X 0 0 X X 2X X X 2X 0 X 2X 2X 2X X X 0 X 0 X 2X 2X 0 0 2X 0 X 2X 2X 2X 2X 0 X 2X 0 0 X 0 0 0 2X 0 0 0 0 0 0 0 0 X 0 2X X 2X X 2X 0 2X 0 2X 2X X 2X X X X 0 2X 0 0 X X 2X 2X X 0 0 X 2X 2X X 0 0 2X 0 0 X 2X 0 2X 0 0 2X 0 2X X 0 X 0 2X 0 X 2X X 2X X 2X X 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 2X 2X 0 X X 2X X X 0 0 0 X X 2X 0 X 2X 2X X 0 X X 2X X 2X 2X 2X 2X 2X 0 0 2X 0 2X X X 2X 0 X X X 0 X X 2X 0 2X X 0 X 0 generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 105. Homogenous weight enumerator: w(x)=1x^0+118x^105+314x^108+546x^111+808x^114+1022x^117+1500x^120+2680x^123+5690x^126+9840x^129+12446x^132+11244x^135+6440x^138+2594x^141+1278x^144+1054x^147+656x^150+418x^153+204x^156+132x^159+36x^162+16x^165+6x^168+4x^171+2x^174 The gray image is a linear code over GF(3) with n=198, k=10 and d=105. This code was found by Heurico 1.16 in 99.2 seconds.