The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X X 0 0 X 0 X 1 1 1 1 X X 1 1 X 1 X X 0 1 X X 1 1 1 X X 0 1 1 1 1 X X 1 X 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 0 1 1 1 X+1 0 X+1 X 1 0 X+1 1 1 X 1 0 1 X+1 X 1 X+1 X+1 0 1 X X 0 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 X+1 X X+1 1 1 X 0 1 X 0 1 1 0 1 X 1 X+1 0 1 1 1 X 1 X X+1 X X 0 1 1 0 1 1 X+1 X X 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 0 X 0 X 0 0 0 X X X 0 0 0 X 0 0 0 X X 0 X X 0 0 0 0 X X X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 X X 0 X 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 0 0 0 X 0 X X X X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X X X X X X 0 X 0 0 X 0 X X 0 0 0 X X 0 X X 0 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 X X 0 0 0 0 0 0 X X X X X X X 0 X X X 0 X 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X X 0 0 0 X 0 X X 0 X X 0 X X X 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 0 X X X 0 X 0 0 0 X 0 0 X 0 X X 0 X X 0 X X X X X 0 0 X 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 X X X 0 0 0 X X X X X X X X X X X X X 0 0 X 0 X X X X 0 0 X 0 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+197x^44+272x^46+750x^48+672x^50+1060x^52+1084x^54+1302x^56+968x^58+841x^60+496x^62+350x^64+88x^66+90x^68+4x^70+12x^72+4x^76+1x^80 The gray image is a linear code over GF(2) with n=110, k=13 and d=44. This code was found by Heurico 1.16 in 8.28 seconds.