The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 1 0 1 1 0 1 0 1 1 1 X 0 1 1 0 1 1 X X 1 0 1 1 1 1 1 X X 0 1 1 X X 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 0 1 X+1 X 1 X+1 1 0 X+1 X 1 1 0 X+1 1 X+1 0 1 1 0 1 0 0 X+1 X+1 1 1 X 1 X+1 X+1 0 1 1 X X X+1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X 0 0 X X X X X 0 0 X X X X X 0 0 0 0 X X X X 0 0 X 0 X X 0 0 0 0 X X X 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 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 X X 0 X 0 X X X 0 X 0 0 X X 0 0 X 0 X X 0 0 0 X X X X X X 0 X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X X X X 0 0 0 X X 0 0 0 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 X 0 X 0 0 0 X 0 0 X 0 0 0 0 X X X X X X 0 0 0 X 0 0 0 X X 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 X X 0 0 X X X X X 0 0 X 0 0 0 0 X X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X 0 X 0 X X X 0 0 X 0 X 0 0 X X X X X 0 X 0 X X 0 X 0 0 0 X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X 0 0 X X 0 X X 0 0 X 0 0 X X X 0 X X 0 0 0 X X 0 X X X 0 0 X 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 X 0 X 0 0 X X X X 0 0 0 X X 0 0 0 X 0 X 0 0 X 0 0 X X 0 0 X X 0 X 0 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 X X X X X X X 0 X X 0 X 0 X X X 0 X 0 0 0 0 X 0 0 0 X X 0 X 0 0 X 0 X X 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+180x^48+64x^50+591x^52+412x^54+1332x^56+1190x^58+2304x^60+1918x^62+2689x^64+1596x^66+1848x^68+760x^70+934x^72+190x^74+268x^76+14x^78+77x^80+13x^84+2x^88+1x^112 The gray image is a linear code over GF(2) with n=126, k=14 and d=48. This code was found by Heurico 1.16 in 44.7 seconds.