The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 0 1 1 1 X 0 1 0 1 1 X 1 X 0 1 X 1 X 1 1 1 1 1 1 0 1 1 0 X 1 1 1 X 1 1 1 1 1 X 0 1 1 1 X 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X 0 1 1 X X+1 1 0 0 0 1 1 1 X 1 X X+1 1 X+1 1 X 1 X+1 X 0 X 1 1 X 1 1 1 1 0 1 0 X+1 X 0 1 1 0 X+1 0 X+1 1 X 1 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 1 0 0 X+1 1 0 X+1 1 X 1 1 X X+1 1 X 1 0 X X+1 1 1 0 1 X 0 0 1 X X+1 X 1 X X X+1 1 X+1 X+1 X X+1 1 0 1 X X+1 X+1 0 1 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X 0 X X X X 0 X 0 X X 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 0 X X X X 0 0 X X X X X 0 X X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X 0 0 X 0 X X 0 X X X 0 X 0 X X 0 0 X X X X X 0 X X X 0 X 0 0 X X X X X X X X 0 X 0 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X X 0 X X 0 X X X 0 X X 0 X 0 X X 0 0 X X X X 0 X X 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 0 0 X X X X X X X 0 0 0 X X X X 0 0 X X X X X X X X 0 X X 0 0 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 0 0 X X 0 X 0 0 X X 0 X X 0 0 X 0 X X 0 X 0 X 0 X X 0 0 X X 0 0 X X 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X X 0 0 X 0 0 0 0 X X 0 X 0 X X 0 0 X 0 X 0 X 0 X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X X 0 X 0 X 0 X X X 0 0 0 X X 0 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 X 0 X 0 X X X X X 0 X 0 X 0 0 0 0 X X X 0 0 X 0 X 0 0 X X X X 0 0 0 0 X 0 X X X X X X 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+88x^48+106x^50+514x^52+552x^54+1297x^56+1358x^58+2073x^60+2060x^62+2374x^64+1894x^66+1849x^68+944x^70+729x^72+226x^74+219x^76+28x^78+53x^80+17x^84+2x^88 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 41.5 seconds.