The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 1 1 X 1 1 1 X 1 1 0 0 1 1 1 1 1 1 0 X X 1 X 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 X+1 1 X+1 0 X+1 1 X 1 X+1 1 0 1 X+1 0 1 X+1 X 0 1 X+1 0 1 1 1 1 X+1 X X+1 X 1 1 1 1 1 1 X+1 1 0 0 0 0 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 X X X X X X X 0 X X 0 X X X X X 0 X X X X 0 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X X X 0 X X X 0 0 X 0 X 0 X X X X 0 0 0 0 X X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X X X X 0 0 0 X 0 0 0 X X X X X X 0 0 X 0 0 X X 0 X X 0 0 X X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 0 X 0 X X X 0 0 X X 0 0 X 0 X X 0 X X X 0 0 X 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X X 0 X 0 X X X 0 0 0 0 X 0 X 0 0 0 0 X X X 0 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 0 X 0 X 0 X X X 0 X X 0 0 0 0 X X 0 0 0 0 X X X X X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 0 X 0 X X X X X 0 X X 0 X 0 0 X 0 X X X X X 0 0 0 X X 0 0 X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 0 X X 0 X 0 0 0 X X 0 0 0 0 X X X X 0 X X X X 0 X 0 generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+109x^44+88x^46+413x^48+278x^50+599x^52+552x^54+711x^56+404x^58+437x^60+208x^62+210x^64+6x^66+53x^68+25x^72+2x^76 The gray image is a linear code over GF(2) with n=110, k=12 and d=44. This code was found by Heurico 1.16 in 2.46 seconds.