The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 1 X 0 0 1 1 X 1 0 1 0 1 X 1 1 X 1 X 0 1 1 X 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X X 1 1 X+1 1 0 0 0 0 1 1 1 X+1 X X+1 1 1 X 1 X 0 1 X+1 0 1 X+1 0 1 0 X 1 1 X+1 0 1 X+1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 X 1 1 1 0 1 0 0 X+1 1 1 0 X+1 1 1 X X 1 0 X+1 1 X X+1 1 1 X X+1 1 X 0 1 0 X+1 1 X 1 1 X 0 X 1 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 X 0 X 0 X 0 0 X 0 X 0 X X 0 X X 0 X X X X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 X X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X 0 0 X 0 X 0 X X 0 0 X X X 0 0 0 X X X 0 X 0 X X X 0 0 X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X X X X X X 0 X X 0 0 0 X 0 X 0 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X 0 X X X X 0 X 0 X 0 0 0 0 X X 0 X 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X X X X 0 0 X 0 0 0 0 X X X X X 0 X X 0 0 X X 0 X X 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X X 0 0 0 X X 0 0 X 0 0 X X 0 0 X 0 0 X 0 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X 0 X 0 X X 0 0 0 X 0 X 0 X X X 0 0 0 X 0 0 X X 0 0 0 X 0 X X 0 X X 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+60x^40+56x^41+125x^42+136x^43+262x^44+302x^45+411x^46+516x^47+611x^48+682x^49+920x^50+1062x^51+1082x^52+1310x^53+1199x^54+1258x^55+1161x^56+1158x^57+930x^58+820x^59+640x^60+458x^61+377x^62+264x^63+204x^64+118x^65+104x^66+30x^67+58x^68+10x^69+29x^70+10x^71+11x^72+2x^73+1x^74+6x^76 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 28.5 seconds.