The generator matrix 1 0 0 1 1 1 1 X 1 1 1 1 2X 1 2X 1 1 X 1 1 1 1 0 1 1 0 1 1 1 2X 1 1 1 1 0 2X 1 1 0 0 0 X 0 1 0 0 0 2X+1 1 1 2X+1 2X+2 2 2 1 X 1 2X+2 2X+1 1 X X+1 X+2 X+1 1 X+1 2X+1 1 1 2X+2 0 2X 1 X+2 X+2 0 1 2X X+2 2 X X 1 1 0 0 1 1 2 2X+2 1 X+2 2X X+1 X X+2 2X+1 2X+2 X+2 0 2X+1 0 X 2X+2 2 2 X+1 2X X 1 2 2X+1 0 1 X+1 X 2X+1 2 2X+2 1 2X+1 1 1 1 0 1 0 0 0 2X 0 0 0 0 2X X X 0 2X 0 X 2X 2X X X 2X 2X 2X X X 0 0 X 2X 2X X 2X 2X X X X 0 0 0 2X X 2X X 0 0 0 0 X X X 0 0 2X 2X 2X X 2X 2X 2X X 0 X 2X X 0 0 2X 0 2X 0 0 X X 2X 0 0 X X 2X X 0 0 2X X 2X generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+388x^75+1000x^78+1418x^81+1254x^84+1116x^87+812x^90+456x^93+96x^96+8x^99+8x^102+2x^105+2x^108 The gray image is a linear code over GF(3) with n=126, k=8 and d=75. This code was found by Heurico 1.16 in 0.483 seconds.