The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 0 0 1 0 1 1 1 0 1 X X 1 0 X 1 1 0 X 1 1 1 X 0 1 1 X 1 1 1 0 0 X 0 1 X X X X 0 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X+1 X 1 X+1 1 X X+1 0 1 0 1 0 0 1 0 X X+1 1 1 X+1 0 X+1 X 1 X+1 X 0 0 X+1 1 1 X 1 X 0 1 X 1 1 X X X 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 1 1 X X X+1 X X X+1 X+1 X+1 X 0 X X 1 X X+1 1 0 0 0 X+1 1 1 X+1 0 1 1 0 1 0 1 1 1 1 X+1 0 X 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X+1 X X 1 0 0 0 X+1 1 X X+1 1 0 X+1 X+1 1 X X X X+1 X+1 0 X X+1 1 0 0 0 X 0 X 1 X+1 X+1 X 0 1 0 X 1 1 1 0 0 0 0 X 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 0 0 0 X X 0 0 X 0 X X 0 X 0 0 X X X X 0 X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 0 X 0 X X X X X 0 0 0 X X 0 0 0 X 0 X X X 0 X 0 0 0 0 0 X 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 0 0 0 X X X X X X X X X X X X X X X X X 0 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 0 0 X X 0 X 0 X 0 X 0 0 X X 0 0 0 X X X 0 X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 X 0 0 X X X 0 0 X 0 X 0 0 0 X 0 X X X X 0 X X 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 X 0 X X X 0 0 X X 0 X X X X 0 0 X 0 0 X 0 0 X X X X 0 X X X X 0 X 0 0 0 X 0 0 0 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+85x^44+325x^46+744x^48+1216x^50+1517x^52+1865x^54+2297x^56+2428x^58+2156x^60+1652x^62+1073x^64+565x^66+265x^68+125x^70+45x^72+14x^74+9x^76+1x^78+1x^82 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 57.8 seconds.