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 X 1 1 X 1 X 1 1 X 1 1 X 1 1 1 X X X X 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2X X X 2X X 0 X X 2X 0 2X X X 0 X 2X X X 0 X X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 2X 0 2X 2X 2X X 2X X 0 X X 2X 2X 0 2X 0 2X 2X X X 2X 0 2X 0 X X 0 0 0 0 X 0 0 0 0 0 0 X X X X 2X 2X 0 2X 0 2X 2X 2X 2X 0 0 2X X 0 2X 2X 0 0 2X X 2X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 2X X 2X X 0 X 0 0 0 0 X 2X 0 X X 0 X 0 X X 0 2X 0 2X 0 X 2X 0 2X X 0 0 0 0 0 0 0 X 0 0 0 2X 2X 0 X X X X X 2X 0 X 2X 0 0 0 2X X X X X X 0 X 2X X X 2X X X X X 0 0 0 0 0 0 0 0 X 0 0 2X 2X X 0 2X 2X 2X X 2X X 2X 2X 0 2X 2X X 2X 0 X 0 2X X 0 0 2X X 0 0 2X X 0 2X 0 0 0 0 0 0 0 0 X 0 2X 2X 2X 0 0 0 2X 2X 2X X X 0 X X 2X 0 X 2X 0 0 0 2X 0 2X X 0 X X 2X 0 0 0 0 0 0 0 0 0 0 0 0 X 2X X X 2X 0 X X 0 X X 0 2X 2X 2X X 2X 0 0 0 X 2X 2X 0 2X 0 2X 0 2X X 0 2X X 0 generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+94x^60+292x^63+522x^66+814x^69+1378x^72+2854x^75+5896x^78+10244x^81+13064x^84+11792x^87+6930x^90+2616x^93+1184x^96+758x^99+356x^102+134x^105+72x^108+28x^111+12x^114+8x^117 The gray image is a linear code over GF(3) with n=126, k=10 and d=60. This code was found by Heurico 1.16 in 48.4 seconds.