The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X 1 1 X 1 1 X 1 1 X X 1 X 1 1 1 0 X 0 0 0 0 0 0 0 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 0 X X 0 X X X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X X X 0 X X 0 0 X 0 X 0 X X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 X X 0 X 0 0 0 X X X X X 0 0 X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 X X 0 X 0 X 0 X 0 X X 0 X 0 0 X X X X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X X X X 0 X X X 0 X X 0 0 X X 0 0 X X 0 X 0 0 X X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 X X X 0 0 X X 0 X X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 0 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X 0 0 0 X 0 X X X 0 X 0 0 0 X 0 X X 0 X X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 X X 0 0 0 X X 0 X 0 X X X X X 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X X X 0 0 0 X X X 0 0 X X 0 X X X X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 0 X 0 0 0 X 0 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+145x^40+376x^44+633x^48+224x^50+1360x^52+1120x^54+1947x^56+672x^58+927x^60+32x^62+471x^64+211x^68+64x^72+5x^76+2x^80+1x^84+1x^96 The gray image is a linear code over GF(2) with n=110, k=13 and d=40. This code was found by Heurico 1.16 in 22.4 seconds.