The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 0 1 X 0 1 1 1 1 1 0 0 1 0 0 1 1 X X 1 X 0 1 1 1 1 X X X 0 X 1 0 1 1 1 1 X X X 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 X+1 0 X 0 1 1 1 X 0 X 1 0 0 1 1 1 X 1 1 X+1 1 X X+1 0 X 0 0 1 1 1 1 1 0 X 1 1 1 0 X+1 1 1 0 X 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 0 1 1 0 1 1 1 0 1 X+1 1 0 X X+1 X 1 X+1 1 0 X 1 X 1 1 0 X 1 0 0 X 0 1 1 0 X 1 X+1 X+1 1 X+1 0 1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X 0 X X X 0 X X 0 X 0 0 X 0 0 0 X 0 0 0 X X 0 0 X X X 0 0 0 0 0 X 0 0 0 0 X X 0 0 0 0 0 X 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 0 X X 0 X 0 0 0 X X X 0 X 0 X X X 0 X X X 0 X 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 0 0 X X 0 0 X X X 0 0 X X 0 X 0 X X 0 0 X X 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 X 0 0 0 X 0 X 0 0 0 0 X X X X X 0 0 0 X X 0 X X X 0 0 X 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 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 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 X X X 0 X X 0 X 0 X X 0 0 X X 0 X X X 0 0 X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X X X X X X 0 X X 0 X X X 0 0 X X 0 0 0 X 0 X 0 0 0 X X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 X 0 0 0 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 X X X X X 0 X X 0 0 X X 0 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+92x^44+36x^45+131x^46+128x^47+342x^48+332x^49+463x^50+524x^51+696x^52+806x^53+767x^54+978x^55+1003x^56+1282x^57+1122x^58+1234x^59+1058x^60+1072x^61+906x^62+868x^63+624x^64+448x^65+488x^66+320x^67+228x^68+102x^69+173x^70+42x^71+45x^72+18x^73+38x^74+2x^75+6x^76+6x^78+1x^80+1x^82+1x^94 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 32.6 seconds.