The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 1 0 X 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 X+1 1 0 0 X+1 1 1 X+1 X+1 X+1 0 X+1 1 0 0 1 X+1 1 1 X 1 X X+1 X 0 X+1 1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 0 0 X X X X X X X 0 0 X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X X 0 0 0 0 X X X 0 0 X X X 0 0 0 X X X 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 X 0 X 0 X X X 0 0 0 0 X X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 X 0 0 0 X 0 X X X 0 X X 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X X X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X X X 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X 0 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 X X 0 0 0 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+131x^32+98x^34+424x^36+384x^38+734x^40+564x^42+736x^44+400x^46+398x^48+90x^50+104x^52+30x^56+2x^64 The gray image is a linear code over GF(2) with n=84, k=12 and d=32. This code was found by Heurico 1.16 in 1.57 seconds.