The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 0 1 1 1 0 1 1 0 1 1 X 0 0 X X 1 0 X 1 1 0 1 1 0 1 1 X 0 1 X 1 0 X 1 1 X 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 0 X+1 X+1 X 1 1 X+1 1 0 0 1 0 1 1 1 0 1 X 0 X+1 1 X+1 X+1 1 X+1 X 0 X 1 X X+1 X 1 X X 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 1 X+1 0 1 0 1 1 X X+1 0 1 1 1 0 X+1 X 1 1 X+1 X 0 0 X+1 1 0 1 1 1 1 1 1 1 X X X 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 X 0 X 0 X 0 X X X X X X 0 X X X X X X X 0 X 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X 0 0 X 0 X X X 0 X X X 0 X 0 0 X 0 X 0 0 X X 0 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X 0 0 0 X X 0 0 X 0 X 0 X X X X X X 0 X X X X X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X 0 X 0 0 X X 0 X 0 0 0 X 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X 0 X X 0 0 X X 0 X 0 0 X X X X X 0 X 0 X 0 0 0 X X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X 0 X X 0 X X 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 X X 0 X 0 X 0 0 0 X 0 X X 0 X 0 0 0 X X 0 X 0 0 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 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 X 0 X 0 0 X 0 X 0 X 0 X X generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+186x^44+222x^46+841x^48+966x^50+1665x^52+1802x^54+2569x^56+2198x^58+2255x^60+1410x^62+1226x^64+514x^66+394x^68+54x^70+67x^72+2x^74+11x^76+1x^100 The gray image is a linear code over GF(2) with n=114, k=14 and d=44. This code was found by Heurico 1.16 in 33.1 seconds.