The generator matrix 1 0 0 0 0 1 1 1 0 X 1 1 1 X X 0 1 1 1 0 1 X 1 1 1 1 X 1 X 0 X 0 X X X X 1 X X 1 0 X 0 1 0 0 0 X X X X 1 1 1 0 0 1 0 X+1 X+1 0 1 X+1 X X+1 1 0 1 1 X 1 1 0 1 X X 1 1 X+1 1 1 X 1 X 0 0 1 0 0 0 0 X 0 0 X X X+1 1 1 1 1 X+1 1 1 1 1 X 0 X+1 1 X X+1 1 1 X 0 1 0 X 0 X+1 X+1 X X X 1 0 0 0 1 0 0 X+1 X+1 1 X 0 1 X+1 X+1 0 X X X+1 0 0 1 X+1 X 1 1 X 1 X X+1 X+1 1 1 1 1 X+1 0 1 X 1 0 X 0 0 0 0 0 1 1 X+1 X X+1 X+1 1 0 X+1 X+1 0 1 X+1 1 X 1 0 X X X+1 X 0 1 1 1 0 X X 0 X X+1 1 1 X+1 X+1 1 X 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+93x^36+236x^38+189x^40+112x^42+105x^44+108x^46+114x^48+48x^50+6x^52+8x^54+4x^56 The gray image is a linear code over GF(2) with n=84, k=10 and d=36. This code was found by Heurico 1.16 in 0.107 seconds.