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 1 1 1 1 1 1 X 1 1 1 X X X X X X X X X 0 X X X 1 1 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 X 0 X X 0 0 0 X X X 0 X 0 X 0 X 0 X 0 X X 0 X 0 0 0 X X 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 0 X 0 X 0 0 X 0 X X X X X X 0 0 0 0 X 0 X 0 0 X X X 0 X 0 X 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 0 X X 0 0 X 0 0 X X X X 0 0 0 0 X X X 0 0 0 X 0 X 0 0 0 X 0 X 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 0 0 0 X 0 0 0 X X 0 0 X X X 0 0 0 X X X X X 0 X X 0 X X 0 0 0 X 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 0 0 X X 0 0 X X X 0 0 X X 0 X X 0 0 X 0 X 0 0 0 0 X 0 0 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 X 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 X X X X X X 0 0 0 X 0 X 0 0 X 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 X 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 0 X 0 X X X 0 X 0 0 X X 0 X 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 X 0 0 X X X X X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 X X X X 0 X 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 0 X X X 0 0 X X 0 X 0 0 X X X 0 0 X 0 0 X 0 X X X 0 0 0 0 X 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 0 0 0 0 0 0 X X 0 X 0 X 0 0 X X 0 0 X X X 0 X X 0 X X 0 X X 0 0 generates a code of length 60 over Z2[X]/(X^2) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+34x^46+100x^48+152x^50+220x^52+305x^54+410x^56+546x^58+593x^60+551x^62+441x^64+276x^66+156x^68+119x^70+102x^72+50x^74+22x^76+15x^78+2x^80+1x^92 The gray image is a linear code over GF(2) with n=120, k=12 and d=46. This code was found by Heurico 1.16 in 3.56 seconds.