The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 1 0 X 1 1 1 1 1 0 1 X 1 0 1 X 0 X 1 1 1 1 1 1 1 1 1 1 1 0 X 1 1 X 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 X+1 1 0 0 X+1 1 1 X+1 X+1 X+1 0 X+1 1 0 1 X 1 X+1 1 1 1 X+1 0 1 1 X X 0 X 1 X+1 1 1 1 0 X+1 1 1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 0 0 0 0 X X X X X X X X 0 X X 0 0 X X 0 X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X X 0 0 0 0 X 0 0 X X X X 0 0 X 0 0 X X 0 0 X X 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X X 0 0 X 0 0 X X X 0 0 X X 0 0 0 0 0 0 0 X X 0 X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 X 0 X X 0 0 X 0 0 X X X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X X X 0 X 0 X 0 0 X X X X X 0 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X 0 X 0 0 0 0 X X X 0 0 X 0 X 0 X X 0 X 0 0 X X X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X X X 0 X X 0 X 0 X X X X 0 0 X 0 X 0 0 0 X X 0 0 X 0 0 X 0 X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X 0 0 X 0 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 X 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+90x^44+29x^46+30x^47+166x^48+84x^49+142x^50+150x^51+222x^52+272x^53+192x^54+332x^55+197x^56+312x^57+211x^58+332x^59+171x^60+272x^61+221x^62+150x^63+127x^64+84x^65+124x^66+30x^67+44x^68+78x^70+5x^72+19x^74+1x^76+8x^78 The gray image is a linear code over GF(2) with n=114, k=12 and d=44. This code was found by Heurico 1.16 in 2.43 seconds.