The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X X 0 X X 1 1 1 1 X 1 X 1 1 X 1 1 X 0 1 1 1 0 1 1 1 1 0 1 X 0 1 X X 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 X+1 1 0 1 1 X 1 1 1 1 0 0 1 1 X X+1 0 0 0 1 1 1 X+1 0 X+1 X X+1 X X X+1 1 X X 0 X+1 X 1 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 X 1 1 X+1 0 X+1 X+1 X+1 X 1 0 0 X 1 0 1 0 1 X X X+1 1 X X X+1 1 1 0 X X X 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 X X X 1 X+1 X 0 X+1 X+1 X+1 1 X 0 1 X+1 1 X+1 0 X+1 1 X+1 X+1 0 X+1 0 X X 0 1 1 0 1 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X X X 0 0 0 0 X 0 X X 0 0 X X 0 0 0 X 0 X X 0 X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X X X 0 0 X 0 0 X 0 X 0 0 X X X X 0 0 X X 0 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X X 0 0 X X 0 0 X 0 0 0 0 X 0 X X 0 0 X 0 X 0 0 X 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X X 0 X 0 X X X X X 0 X X X X 0 0 0 X 0 X 0 X X 0 X 0 X X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X 0 X 0 X X 0 X X X 0 0 X 0 X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X 0 0 X X X X 0 0 0 X 0 X X X 0 X X 0 X X 0 0 0 0 0 X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X 0 0 0 0 0 X X 0 X 0 X X 0 X 0 0 X X 0 0 0 X X X 0 0 X X 0 X generates a code of length 52 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+64x^38+52x^39+223x^40+310x^41+489x^42+500x^43+831x^44+946x^45+1286x^46+1550x^47+1789x^48+2160x^49+2209x^50+2544x^51+2462x^52+2712x^53+2357x^54+2346x^55+1916x^56+1526x^57+1264x^58+964x^59+747x^60+466x^61+432x^62+210x^63+176x^64+68x^65+85x^66+24x^67+40x^68+4x^69+5x^70+2x^71+7x^72+1x^74 The gray image is a linear code over GF(2) with n=104, k=15 and d=38. This code was found by Heurico 1.16 in 93.5 seconds.