The generator matrix 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 X 0 0 X 0 X 1 1 1 X X 1 X 1 0 1 0 1 1 1 0 X 0 0 1 1 1 1 1 X 0 X 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 X+1 X 1 1 X 1 1 1 X 1 0 1 1 1 X X+1 X 1 0 0 0 1 1 X+1 1 X 0 1 1 X X 1 X 0 1 X 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 X+1 1 X X 1 X 1 1 0 1 X+1 X 0 X X+1 0 1 1 X X X 0 1 X X+1 1 0 1 X 1 X 1 X X+1 X 0 X 1 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 X X+1 X 1 X 1 0 X+1 X+1 X+1 1 1 X 0 X X+1 1 X+1 1 X 0 1 X+1 X+1 X+1 X+1 X+1 1 0 X+1 0 0 0 X 1 X 0 1 1 X+1 X 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 X X+1 X+1 0 1 1 X 1 0 1 1 0 X 1 X+1 X 1 X 1 1 X X X 1 X+1 X 0 1 1 X X X X 1 X+1 X+1 1 0 1 0 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 X+1 1 X 1 X X 0 X+1 1 X+1 1 0 X+1 X+1 X+1 X 0 X+1 X+1 0 1 X 0 X+1 1 X+1 X X 0 X+1 0 X 1 0 X 0 X+1 X+1 0 X X 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 X+1 1 X X 0 1 1 0 1 X+1 0 1 X 0 0 0 1 X+1 1 1 X 0 1 0 X X+1 X 1 X X+1 0 X+1 X 1 1 0 X+1 X X+1 X 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 X X 0 X 0 0 X X 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X 0 0 0 X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 generates a code of length 59 over Z2[X]/(X^2) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+24x^38+88x^39+99x^40+154x^41+224x^42+242x^43+304x^44+392x^45+545x^46+618x^47+708x^48+864x^49+979x^50+1026x^51+1164x^52+1180x^53+1173x^54+1276x^55+1412x^56+1486x^57+1557x^58+1632x^59+1494x^60+1538x^61+1432x^62+1406x^63+1358x^64+1164x^65+1055x^66+960x^67+917x^68+846x^69+769x^70+628x^71+517x^72+408x^73+335x^74+266x^75+173x^76+138x^77+81x^78+48x^79+39x^80+20x^81+18x^82+2x^83+3x^84+2x^85+2x^88+1x^92 The gray image is a linear code over GF(2) with n=118, k=15 and d=38. This code was found by Heurico 1.16 in 97.5 seconds.