The generator matrix 1 0 0 1 1 1 X 1 1 1 0 1 0 X 1 1 1 1 X X 1 1 1 0 X 0 1 1 0 1 1 1 X 0 X X 1 X 1 0 1 1 0 1 0 0 1 X+1 1 0 X 1 1 X+1 1 X 1 1 X 0 1 1 X X 1 X 1 1 X+1 X+1 0 1 X+1 X+1 X X 0 0 0 1 0 1 X+1 1 0 0 1 1 1 0 1 X 1 X+1 X+1 X 0 1 X+1 X+1 X 1 X X+1 0 1 X 1 X 1 X+1 0 1 1 X+1 X 1 0 0 1 0 0 X+1 1 0 1 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X 0 X X 0 0 X X X 0 X 0 X 0 X 0 0 X 0 0 X X 0 0 0 0 0 0 0 X X 0 X 0 0 X 0 0 X 0 X X X X 0 0 X 0 0 X X X X X 0 0 X X X 0 X X X X X 0 0 generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+44x^38+80x^40+54x^42+30x^44+18x^46+15x^48+6x^50+2x^52+2x^54+4x^58 The gray image is a linear code over GF(2) with n=84, k=8 and d=38. This code was found by Heurico 1.16 in 0.015 seconds.