The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 X 1 0 0 1 0 1 0 X 0 0 1 X 0 1 X 1 1 1 1 1 1 1 0 X X 0 0 0 1 0 X 0 X 1 0 0 X 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 X+1 1 1 1 X 1 1 1 X X+1 1 1 X 1 X+1 1 1 0 0 0 X 0 0 X+1 X 0 1 1 1 0 0 0 0 1 0 1 1 X 1 1 1 X 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 X 0 1 0 X 1 X X X X+1 1 1 1 1 X 1 1 1 X+1 1 0 X+1 X+1 0 X+1 X X X+1 0 0 X X+1 0 1 X+1 0 X+1 0 0 X X 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 X+1 X 1 X 0 1 X+1 X 0 X+1 X+1 X+1 X 0 0 0 1 X X 1 X X 1 1 X+1 1 X 1 X X X X X X+1 X+1 0 1 0 1 X+1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 X+1 1 1 0 X+1 X+1 X X+1 X+1 0 0 1 1 0 X X+1 X X+1 1 X 0 0 X+1 0 1 0 X 0 X+1 1 X 1 X+1 X X+1 X 0 1 X 1 X+1 X X 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 X 0 X+1 1 X 1 0 X+1 0 X+1 0 X X+1 0 X+1 0 X+1 0 X+1 1 X+1 0 X+1 X+1 X X 0 1 0 X X+1 1 0 X 0 1 X+1 X X+1 1 X+1 X 1 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 X X X X 0 X X X X 0 X X 0 X 0 0 0 X X X X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 X X X 0 X X 0 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 X X 0 X X X 0 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X 0 X 0 0 X 0 X X 0 X X 0 X X X 0 0 0 0 0 X 0 X X X 0 X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 generates a code of length 58 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+16x^39+40x^40+76x^41+117x^42+148x^43+240x^44+332x^45+437x^46+520x^47+653x^48+782x^49+1004x^50+1172x^51+1312x^52+1520x^53+1536x^54+1752x^55+1846x^56+1834x^57+1929x^58+1878x^59+1867x^60+1814x^61+1657x^62+1496x^63+1345x^64+1178x^65+981x^66+834x^67+618x^68+516x^69+386x^70+272x^71+226x^72+114x^73+118x^74+94x^75+35x^76+26x^77+24x^78+8x^79+9x^80+3x^82+2x^83 The gray image is a linear code over GF(2) with n=116, k=15 and d=39. This code was found by Heurico 1.16 in 99.5 seconds.