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 1 1 1 1 X X X X 0 X X 1 1 0 1 1 X 1 X 1 1 X 1 1 0 1 1 0 1 1 0 X 1 1 X X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 0 X X X X 0 X 0 0 0 X 0 X X X X 0 X 0 X X 0 0 X X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X X 0 X 0 0 0 X 0 X 0 X 0 0 0 0 X X X 0 0 X X X 0 X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X 0 X X X X X 0 0 0 0 X X 0 X 0 X X 0 X X 0 X 0 X X 0 0 X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 0 X X 0 0 X 0 X 0 X X X 0 0 X 0 0 0 0 0 X X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 X X X X X 0 X 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X X 0 0 X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X X X X X X 0 X X 0 0 X X X 0 X 0 0 X 0 X X 0 0 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X X X 0 0 X X X X 0 X X X X X 0 X 0 X 0 0 0 X 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X 0 0 0 0 0 0 X 0 0 X X X 0 0 0 X 0 0 0 X 0 X X X 0 0 X X 0 X 0 0 X X generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+79x^56+2x^58+184x^60+56x^62+268x^64+148x^66+363x^68+192x^70+291x^72+90x^74+181x^76+24x^78+90x^80+53x^84+21x^88+3x^92+1x^96+1x^104 The gray image is a linear code over GF(2) with n=138, k=11 and d=56. This code was found by Heurico 1.16 in 1.06 seconds.