The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 0 X 0 0 0 X 1 0 1 X 1 0 1 X 1 X X X 0 1 1 1 1 1 1 1 0 1 1 X 0 X 1 1 0 0 X 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 X+1 1 1 0 1 1 X 0 1 X 1 0 X X+1 1 0 X 1 0 1 X 1 X+1 X 0 X 1 X 0 1 0 0 0 1 X X 0 1 1 1 X+1 X+1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 X X 1 X 1 X 0 X+1 1 0 1 1 1 0 1 X+1 X 0 1 1 0 X X+1 0 X X 0 1 1 0 1 X+1 1 X+1 0 X+1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 X+1 1 1 0 1 1 1 X+1 X X+1 1 1 0 X+1 0 0 X X X 0 1 X X X 0 X+1 X+1 X 0 X+1 1 0 X 1 0 X 0 0 X+1 X+1 X X 0 0 0 0 0 0 0 1 0 1 0 0 1 X 1 X+1 X+1 0 0 X+1 X 1 X 1 0 X+1 0 0 1 X+1 X+1 X+1 1 X+1 1 1 X+1 0 X+1 0 0 X X X+1 X+1 X+1 X+1 X+1 X+1 1 1 X+1 X X X+1 0 0 0 0 0 0 0 0 1 1 1 0 X 0 1 X 0 1 X+1 1 X+1 X 0 X+1 0 1 X 1 X+1 X X 1 X+1 1 X+1 0 X+1 1 0 1 0 X+1 0 0 X+1 X 0 0 X+1 X 0 X 1 X+1 1 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X 0 0 X 0 0 X 0 X 0 X X 0 0 0 X 0 X X 0 0 X 0 0 0 0 X X X X 0 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X 0 0 0 0 X X X X 0 X X X X 0 0 X 0 0 X X X 0 X 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 0 0 X X 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 X X 0 X 0 X X X 0 X X 0 X 0 X 0 0 0 0 generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+34x^39+83x^40+110x^41+186x^42+318x^43+418x^44+570x^45+712x^46+954x^47+1087x^48+1284x^49+1583x^50+1652x^51+1946x^52+2112x^53+2127x^54+2234x^55+2219x^56+2098x^57+2027x^58+1782x^59+1532x^60+1368x^61+1111x^62+914x^63+684x^64+532x^65+369x^66+244x^67+182x^68+108x^69+65x^70+56x^71+38x^72+8x^73+11x^74+4x^75+2x^76+2x^77+1x^78 The gray image is a linear code over GF(2) with n=110, k=15 and d=39. This code was found by Heurico 1.16 in 99.7 seconds.