The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 X X X 0 0 X 0 0 1 1 1 X 1 X 0 X 1 1 X 1 1 1 1 X X 1 1 1 X X 1 1 X 1 X X 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 X+1 X+1 0 X+1 1 1 1 X 0 0 X 0 X 0 1 1 1 1 X 0 0 0 1 1 1 X+1 X X 1 1 0 1 1 X 1 0 0 0 X 1 X+1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 X+1 1 0 X X 1 X 0 X X+1 X X+1 1 X 1 0 0 0 X+1 X 0 X+1 X 1 0 X+1 X+1 1 1 1 X+1 X 1 X+1 1 X 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 X+1 1 0 X X 1 1 0 0 1 1 0 1 X X+1 0 1 X+1 X 1 1 X 1 1 X X+1 X+1 X+1 X+1 1 0 1 1 1 X 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 X+1 0 1 X 1 0 0 X+1 0 0 X+1 X X+1 0 0 1 X+1 X+1 X 1 0 X+1 X+1 X+1 X+1 X 1 1 X+1 X 1 X 0 X 0 X 1 X+1 X 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 X 1 1 0 0 1 X 1 0 X 0 X+1 1 1 0 0 1 1 X X+1 1 1 0 X+1 X+1 X+1 X+1 X X+1 0 0 1 1 0 0 1 0 X X+1 X X+1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X 0 X 0 X X X X X 0 X X 0 X 0 0 0 X X X X X X 0 X 0 X X X X X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 X 0 0 0 X X 0 0 X X 0 X 0 X X X X 0 0 0 0 0 X X 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X 0 X X 0 0 0 X X X 0 X X 0 0 X 0 0 X 0 X X 0 X 0 X 0 X X X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+42x^39+52x^40+56x^41+130x^42+154x^43+225x^44+204x^45+316x^46+432x^47+440x^48+510x^49+571x^50+664x^51+706x^52+766x^53+747x^54+702x^55+767x^56+822x^57+832x^58+848x^59+959x^60+1096x^61+1122x^62+1280x^63+1284x^64+1282x^65+1292x^66+1258x^67+1158x^68+1028x^69+1079x^70+860x^71+871x^72+880x^73+676x^74+714x^75+667x^76+692x^77+707x^78+670x^79+609x^80+524x^81+470x^82+410x^83+332x^84+262x^85+195x^86+124x^87+102x^88+70x^89+44x^90+32x^91+17x^92+9x^94+2x^95+2x^96+1x^98+1x^102 The gray image is a linear code over GF(2) with n=130, k=15 and d=39. This code was found by Heurico 1.16 in 97.9 seconds.