The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 X 0 X 0 1 1 1 X 1 1 0 1 0 0 X 1 1 1 1 X 1 1 X 1 1 1 1 0 X X 1 1 X X 1 X 1 1 X 1 1 1 0 1 0 1 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 1 X+1 X+1 1 1 1 1 X+1 1 1 1 1 1 1 1 X+1 X 1 1 1 X 0 1 1 X+1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X X+1 X 1 X+1 1 1 X 1 0 0 1 X+1 X 0 X+1 0 X+1 0 X X 1 X 0 1 1 X+1 1 X 1 X+1 X 0 X+1 1 X X+1 1 0 0 0 0 1 0 0 0 0 0 1 1 X 0 1 X 0 X+1 X+1 1 1 X+1 1 1 0 1 X 0 X X 1 X+1 0 X+1 0 0 X X X+1 X+1 X 1 1 X X 0 X+1 X X+1 0 0 X X+1 X 1 X 1 1 1 0 0 0 0 0 1 0 0 0 1 0 X 1 X+1 0 0 X X+1 X+1 X+1 1 X X X+1 0 X+1 X 1 1 X+1 0 1 X+1 X 1 0 0 X+1 1 1 1 1 1 X X 0 X 0 X 1 0 X+1 X X X X X+1 X 1 0 0 0 0 0 0 1 0 0 1 X X+1 X X+1 1 X+1 X+1 X X+1 X X+1 X+1 X X+1 0 X+1 X+1 1 X+1 1 X+1 X+1 X 0 X X 0 X X+1 X+1 X+1 X 0 X+1 X+1 X 1 1 X+1 1 X+1 1 0 1 1 0 X X+1 0 0 0 0 0 0 0 0 1 0 1 X+1 0 1 X 1 1 X X+1 0 X X 0 1 X X X+1 X+1 1 1 X 1 1 1 0 X 1 1 0 1 X 1 X+1 0 X 0 1 X+1 X X X X+1 X X 0 X+1 X 0 0 0 0 0 0 0 0 0 0 0 1 X 1 X 1 X+1 1 1 1 1 X+1 X X 1 0 X X+1 0 0 1 X+1 0 X 1 X 0 X+1 1 0 X X X 1 X 0 X 1 X+1 0 X+1 X 0 0 1 X+1 X 0 X X X+1 1 0 generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+88x^44+160x^45+435x^46+440x^47+885x^48+978x^49+1353x^50+1662x^51+2237x^52+2490x^53+2958x^54+3698x^55+3869x^56+4472x^57+4344x^58+4906x^59+4595x^60+4488x^61+4081x^62+3704x^63+3076x^64+2766x^65+2249x^66+1542x^67+1399x^68+854x^69+681x^70+374x^71+311x^72+152x^73+142x^74+50x^75+49x^76+24x^77+12x^78+8x^79+2x^80+1x^86 The gray image is a linear code over GF(2) with n=118, k=16 and d=44. This code was found by Heurico 1.11 in 184 seconds.