The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 0 1 1 0 X 0 X 1 1 X 1 1 X 1 0 1 X 1 1 0 X 1 1 X 1 0 1 1 1 1 1 X 1 1 X 1 X 1 X 1 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 0 1 0 X 0 1 1 1 1 X+1 1 X X+1 1 0 1 0 0 X+1 0 0 1 X+1 X 1 0 X X+1 X+1 X X X+1 1 X+1 0 X 0 1 X+1 X 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 1 0 0 1 1 1 X+1 X 1 0 X X+1 1 0 X 1 1 1 1 0 1 1 X+1 X+1 X+1 0 1 X 1 X X+1 X+1 0 0 0 1 1 1 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X X X X 0 X X 0 0 X X X X X X X 0 X 0 0 X X 0 0 X 0 0 X X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X X 0 0 X 0 X 0 X 0 0 0 X X X 0 0 X 0 X X 0 0 0 X X 0 X 0 X X 0 0 X X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 X 0 X X 0 X X X X 0 0 X X 0 X X 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X X X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 X X 0 X X X X 0 X X X X X 0 0 0 X 0 0 0 0 X X X X X X 0 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 X X 0 0 0 0 0 X X X X X X 0 X X X 0 0 X 0 0 X X 0 0 X 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 X 0 X 0 X X X 0 0 X X 0 X 0 X 0 0 X X X 0 0 X 0 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 X 0 0 0 X X 0 X X X 0 X 0 0 X X 0 X 0 0 0 X 0 X 0 X 0 X X X X 0 0 0 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+89x^48+124x^50+455x^52+498x^54+939x^56+880x^58+1098x^60+1080x^62+1116x^64+700x^66+650x^68+258x^70+193x^72+40x^74+50x^76+4x^78+14x^80+3x^84 The gray image is a linear code over GF(2) with n=122, k=13 and d=48. This code was found by Heurico 1.16 in 9.41 seconds.