The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 1 0 1 X 1 1 0 X 1 1 1 1 1 1 1 1 0 0 1 X 1 1 1 0 1 1 1 0 X 1 1 1 0 1 1 X 1 0 X 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 0 1 X+1 X 1 1 X+1 0 0 X+1 X+1 0 X 1 1 1 0 1 X+1 X+1 X+1 1 1 0 0 1 1 X X+1 X+1 1 0 X 1 X 1 1 X 0 0 0 0 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 0 0 X X X X X X X 0 0 0 0 X X X X X 0 0 X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 X X X X 0 X 0 0 X X X 0 X X X 0 0 X 0 X 0 0 X 0 X 0 X X X 0 X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X 0 X X 0 X X X 0 X X X X 0 0 X 0 0 0 X 0 0 0 X X X 0 0 0 0 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 0 X X X 0 X 0 X 0 0 0 0 0 0 0 X X X X 0 0 X X 0 X X X X X 0 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X X 0 0 X 0 0 X 0 X X X 0 0 X X 0 X X 0 X 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 0 X X X 0 X X 0 0 X 0 0 X X X X 0 0 X 0 X 0 0 0 X 0 0 0 X 0 X 0 0 X 0 X 0 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 0 0 X X X 0 0 X X X X X X 0 X X X X X 0 X 0 0 X X 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X X X 0 0 0 X X 0 X X 0 X X 0 X X X X X X X X X 0 0 0 0 0 X 0 X 0 0 X X 0 0 X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X 0 X X 0 X 0 0 X X X X 0 X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X X generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+97x^48+36x^50+381x^52+256x^54+820x^56+764x^58+1268x^60+960x^62+1292x^64+764x^66+809x^68+256x^70+319x^72+36x^74+95x^76+30x^80+6x^84+1x^88+1x^92 The gray image is a linear code over GF(2) with n=124, k=13 and d=48. This code was found by Heurico 1.16 in 11.1 seconds.