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 X 1 1 1 1 1 1 1 X X 1 1 1 X 1 X 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 0 0 2X 2X X X 2X 2X X X X 0 0 X 2X X 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 X 2X 0 2X X 2X 2X 0 X 0 2X X 0 2X 0 2X 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 X 2X 2X 2X 2X 2X X 0 0 2X 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 X 2X 2X X X 2X X X 2X X 2X X X 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 X 2X 0 2X 0 2X X X 0 2X X 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 2X 2X X 0 0 0 0 X 2X 0 X 0 2X X X X 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 2X X 0 0 2X 2X 0 2X X X X 0 0 0 X 0 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 0 0 2X 2X 0 0 0 X X X X 0 2X 2X 2X 0 generates a code of length 59 over Z3[X]/(X^2) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+180x^93+400x^96+626x^99+872x^102+1168x^105+1972x^108+4366x^111+8428x^114+12810x^117+12950x^120+8074x^123+3354x^126+1430x^129+998x^132+646x^135+404x^138+194x^141+102x^144+46x^147+16x^150+10x^153+2x^156 The gray image is a linear code over GF(3) with n=177, k=10 and d=93. This code was found by Heurico 1.16 in 84.8 seconds.