The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 1 0 X X 1 0 1 X 0 1 1 1 X 0 1 1 1 X 1 1 0 X 1 1 1 1 0 X X X 1 X 1 X 0 1 1 1 X X 1 X 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 1 X 0 1 1 1 0 X 1 1 X+1 0 1 1 X 0 X 1 X 1 0 1 1 X+1 1 0 X 1 1 1 X X+1 X X X 1 1 0 X 1 X 0 0 X X 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X+1 0 0 1 1 1 1 1 1 1 0 1 0 1 X X 1 X X 1 1 X+1 0 0 1 0 X 1 0 0 X 0 1 0 1 0 1 1 1 1 X X+1 1 X+1 1 1 1 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X X 0 0 0 X 0 0 X X 0 0 0 X X X 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X X X X 0 X X 0 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 X 0 X 0 X 0 0 0 X 0 X 0 0 X X 0 0 X X 0 0 X X X X 0 X X 0 0 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 0 X X X X X 0 0 X X X X X 0 X 0 0 X 0 0 0 X 0 0 X X X X 0 0 0 X 0 X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 X X X 0 0 0 X 0 0 X X X 0 X X 0 0 0 X X 0 0 0 X X 0 0 X X 0 X 0 0 0 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 X X X X X X X X X X X 0 X X X X X X 0 X 0 X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X 0 X 0 X 0 X 0 X 0 X X X 0 0 0 X 0 0 X X X X 0 0 X 0 0 0 0 0 X X X X X X 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X X X 0 X 0 X 0 X X X 0 X 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X 0 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X X X X X 0 X 0 X 0 X 0 0 X X 0 0 X 0 0 X X X 0 0 0 X X X X 0 X generates a code of length 62 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+119x^48+142x^50+674x^52+778x^54+1507x^56+1544x^58+2309x^60+2184x^62+2354x^64+1662x^66+1477x^68+714x^70+608x^72+140x^74+143x^76+4x^78+18x^80+5x^84+1x^104 The gray image is a linear code over GF(2) with n=124, k=14 and d=48. This code was found by Heurico 1.16 in 38.9 seconds.