The generator matrix 1 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 0 1 1 X 1 0 0 X X 0 1 0 X 1 1 1 1 0 0 1 X 1 0 1 1 X 0 1 1 1 X 1 X 1 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X X 0 1 X X+1 1 0 X X 1 0 1 1 0 0 X 0 1 1 X 1 X X 1 1 1 X 1 1 X 0 X 1 0 1 X 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 1 X+1 1 1 0 0 X+1 0 X+1 1 1 X 0 X+1 X 1 X 1 0 X+1 X+1 1 X+1 0 1 X X+1 X+1 X X+1 X+1 1 X+1 0 X 1 1 X+1 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 X+1 X X+1 X+1 X+1 1 X+1 0 X X X+1 0 1 X 0 1 1 X+1 X+1 0 X+1 X 0 0 X X+1 0 X X+1 0 0 1 1 X+1 1 X+1 1 X 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X 1 X+1 X+1 X+1 0 1 X 1 0 X 0 0 0 X+1 1 X X X 1 X+1 1 1 X 1 X+1 X+1 0 1 X+1 X+1 X+1 0 X 1 0 0 0 0 0 0 X 0 X X X 0 X X X 0 X 0 0 X 0 X 0 0 0 0 0 X 0 X X X X X 0 X 0 X 0 X 0 X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 X X X X X 0 X X 0 X X X 0 0 0 0 X 0 X 0 X X X 0 0 0 X X X 0 0 0 0 0 0 X generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+148x^42+387x^44+458x^46+555x^48+551x^50+525x^52+523x^54+395x^56+321x^58+170x^60+39x^62+13x^64+8x^66+2x^68 The gray image is a linear code over GF(2) with n=102, k=12 and d=42. This code was found by Heurico 1.16 in 1.66 seconds.