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 0 1 X 1 1 1 0 1 X 1 1 1 1 0 1 1 1 X 0 1 X X 0 1 1 X X 1 X X 0 X 1 X 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 X+1 0 1 X+1 0 1 X+1 0 1 1 1 0 X+1 0 1 X 1 X+1 0 X+1 X 1 1 0 1 1 1 0 X 1 X X 1 1 1 X 1 1 X X 0 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 X X X X X X X 0 0 0 0 0 0 X X X X X X X X X 0 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 0 0 X 0 X 0 0 X 0 X X X X X 0 0 0 X X 0 X X 0 X 0 0 X X X 0 0 0 X 0 0 0 X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X X X X 0 0 X X 0 0 X X X 0 0 X X X X 0 X 0 X X X 0 0 X X 0 X 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 X X 0 0 0 0 X X X X X 0 X X 0 0 X 0 0 0 0 0 X X 0 X X 0 0 0 X 0 X X X 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 0 0 0 0 X X X X X X X X X X X X X X X 0 X X 0 X 0 X X X 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 0 X X X 0 X 0 X 0 0 0 0 X X X X X 0 X X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X 0 0 0 0 X 0 X X X X 0 X X 0 X 0 X X 0 X X X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 0 X 0 X X X X 0 X 0 X 0 X X 0 0 X 0 X 0 X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 0 0 0 X 0 X 0 0 X 0 X 0 0 X X X X X 0 X 0 0 0 0 X X X 0 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 X X X X 0 0 X 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 X X 0 0 0 generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+227x^44+94x^46+735x^48+524x^50+1566x^52+1434x^54+2541x^56+2024x^58+2686x^60+1458x^62+1590x^64+524x^66+638x^68+86x^70+218x^72+35x^76+2x^80+1x^104 The gray image is a linear code over GF(2) with n=116, k=14 and d=44. This code was found by Heurico 1.16 in 97.4 seconds.