The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 1 0 1 1 X 0 1 0 1 0 1 1 0 1 0 X 0 X 1 1 0 X 1 1 X 1 1 X 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 X+1 0 1 1 0 X 1 1 X+1 1 X+1 1 X X+1 1 X 1 1 1 0 X+1 X+1 0 1 X+1 X 0 1 X+1 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 X 0 X X 0 X X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X X 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 0 X 0 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 0 0 X 0 X X X 0 0 0 X X X X X X 0 0 X X X X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X X 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X X 0 0 X 0 0 X 0 X 0 X X X X 0 X 0 X 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X 0 X 0 X 0 0 0 X X 0 0 X X X X 0 0 X X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 X X X 0 X 0 0 0 X X 0 X X 0 X 0 X 0 0 0 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X 0 X 0 X X X 0 X X X 0 X 0 X 0 X X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 0 X X X 0 0 0 X 0 0 0 X X X X X X 0 X 0 0 X 0 0 X 0 0 0 generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+195x^40+74x^42+666x^44+468x^46+1526x^48+1454x^50+2720x^52+2136x^54+2742x^56+1478x^58+1576x^60+468x^62+624x^64+66x^66+152x^68+31x^72+6x^76+1x^96 The gray image is a linear code over GF(2) with n=108, k=14 and d=40. This code was found by Heurico 1.16 in 38.6 seconds.