The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 1 0 1 1 X X 1 1 0 1 X 1 1 1 X 0 0 0 1 0 1 1 X X 1 1 X 1 1 1 0 0 1 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 X+1 0 1 X+1 0 1 0 0 X+1 X 1 X+1 X 1 1 X+1 X+1 1 X+1 1 0 0 X+1 1 1 1 1 1 1 X+1 X 1 1 0 0 0 X X+1 X+1 0 1 X+1 X 1 X+1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 0 0 X X X X 0 X X 0 X X X 0 X 0 X 0 0 X X X 0 0 X 0 X 0 X 0 0 0 0 0 X 0 X X X X 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 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 0 X X 0 0 X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X 0 X X X X 0 0 X X 0 X 0 X 0 X 0 0 0 X X 0 0 X X 0 X 0 X 0 0 0 0 X 0 X X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X 0 0 X X X 0 X X X X 0 0 X 0 0 X 0 X X 0 0 X 0 X X 0 X X X X 0 X X 0 X X 0 0 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 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 X X 0 0 X X X 0 X 0 X 0 0 X X 0 X X 0 X X X X 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X 0 X 0 X 0 0 0 X X 0 X 0 0 X 0 X X X X X 0 X X 0 0 X 0 0 X 0 X 0 X 0 0 0 X X X 0 0 X X 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 X 0 0 X X 0 0 0 0 0 X 0 0 X X 0 0 X X 0 X X X X X X 0 0 X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X 0 0 X X X X X X 0 0 X 0 X 0 0 0 X 0 X X X 0 0 X 0 X 0 X X X 0 X X X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 X 0 X 0 X X X 0 0 X 0 0 0 0 X 0 X 0 X 0 X X X 0 X 0 0 X 0 0 0 0 0 X 0 X X 0 X 0 X X X X 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 0 X 0 0 0 0 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X 0 X 0 X X 0 X X 0 0 X X X generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+101x^52+16x^54+386x^56+198x^58+929x^60+732x^62+1898x^64+1612x^66+2437x^68+1910x^70+2230x^72+1230x^74+1450x^76+376x^78+556x^80+64x^82+186x^84+6x^86+48x^88+16x^92+1x^96+1x^108 The gray image is a linear code over GF(2) with n=138, k=14 and d=52. This code was found by Heurico 1.16 in 45.4 seconds.