The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 X 1 X X 1 X 1 1 X 1 1 1 X 1 1 1 1 1 1 1 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 X X X X X X X X 0 X X X X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 0 X X 0 X 0 X X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 X X X X X 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X 0 0 X 0 0 X X 0 0 0 0 0 0 X X X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 X 0 X 0 X X X 0 0 X 0 0 X 0 X 0 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 0 X X 0 X X 0 0 0 X X 0 0 X X 0 X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X 0 0 X X 0 0 X 0 X 0 X 0 X 0 0 X 0 0 X 0 X X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 0 X 0 X 0 0 0 X 0 0 X X X 0 X 0 0 0 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X 0 X X 0 0 0 X 0 X X 0 0 0 X X 0 X 0 X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X X 0 0 0 0 X 0 X 0 X 0 X X X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X X X 0 X 0 X X 0 X X X X 0 0 X 0 X X X 0 X X X 0 0 0 generates a code of length 46 over Z2[X]/(X^2) who´s minimum homogenous weight is 30. Homogenous weight enumerator: w(x)=1x^0+58x^30+153x^32+253x^34+372x^36+524x^38+871x^40+1643x^42+2656x^44+3176x^46+2741x^48+1744x^50+939x^52+532x^54+309x^56+188x^58+123x^60+62x^62+21x^64+11x^66+5x^68+1x^74+1x^76 The gray image is a linear code over GF(2) with n=92, k=14 and d=30. This code was found by Heurico 1.16 in 29.5 seconds.