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 X 1 X 1 1 1 1 1 1 1 X 1 1 X 1 X 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 0 X X X X 0 X X 0 X X X X X X 0 X X 0 X X X X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X 0 X 0 X 0 0 0 X 0 X X 0 X 0 X X X 0 X 0 0 X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 0 X 0 X 0 X X X X X X 0 0 X X 0 0 0 0 X 0 X 0 X X X 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 0 0 X X X X 0 X 0 X 0 0 X X 0 0 0 0 X 0 X X 0 X 0 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X X 0 0 0 0 X X 0 0 X 0 0 0 X X X 0 X X X X 0 X 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 0 X 0 0 X 0 X 0 X 0 0 X X 0 X 0 0 0 0 X 0 X X X X X 0 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 X X 0 0 0 X X 0 X 0 0 0 X X 0 X X 0 0 X X X X 0 X X X 0 X 0 0 X 0 0 0 0 generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+31x^48+75x^52+48x^54+143x^56+64x^58+66x^60+16x^62+36x^64+27x^68+4x^72+1x^104 The gray image is a linear code over GF(2) with n=114, k=9 and d=48. This code was found by Heurico 1.16 in 0.063 seconds.