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 X X X X X X 0 1 X 1 X 1 X X 1 X X X X 1 X X 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 X 0 X 0 X X X X 0 0 X 0 0 X X X X X 0 X X 0 0 0 X 0 0 X 0 X 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 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 X X 0 0 0 0 X X 0 0 X 0 X X 0 0 X 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 X X 0 X X 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 0 0 X 0 X 0 X 0 X X X 0 X 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 0 0 0 0 X X X X 0 0 0 X 0 0 0 X X X 0 X 0 0 X 0 0 0 0 X X X X 0 X 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 0 X X 0 0 0 0 0 0 X X 0 X X 0 0 0 X 0 X 0 X 0 X 0 0 X 0 X X 0 X X X 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 X X 0 0 X X 0 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 X 0 X X X 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 X X X 0 X 0 X X X 0 0 X 0 0 X 0 X X 0 0 0 0 X 0 X X X 0 X X X 0 X 0 X 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 X 0 X X X 0 X X X 0 X X X X 0 X X 0 0 0 0 X 0 X 0 X 0 0 0 0 0 X X 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 0 0 X X 0 X X X X 0 X 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 0 X X X 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 X 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X 0 X 0 0 X X 0 0 X X 0 0 X X X X X generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+136x^48+10x^50+341x^52+94x^54+533x^56+324x^58+749x^60+348x^62+633x^64+210x^66+393x^68+38x^70+182x^72+83x^76+18x^80+2x^84+1x^88 The gray image is a linear code over GF(2) with n=122, k=12 and d=48. This code was found by Heurico 1.16 in 3.83 seconds.