The generator matrix 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 X 1 1 1 1 X 0 X X 1 0 1 X 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 X+1 0 1 X X 0 1 1 0 X 1 1 0 X+1 1 0 1 1 X+1 0 0 1 X 0 X 0 X X 1 1 X X+1 X+1 0 X+1 X X+1 1 0 X+1 X+1 0 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 X X X 1 0 X 1 X X+1 1 1 0 0 1 0 X+1 X+1 X 0 1 1 0 X+1 X X+1 1 X X 1 0 0 1 X+1 X 1 X 0 1 1 1 1 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 X 1 1 X+1 1 0 1 1 X+1 1 X X 1 X X 1 X+1 0 0 0 X+1 0 0 0 X+1 X X+1 X+1 1 X+1 X 0 0 1 1 0 X 1 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 X+1 X+1 0 X+1 1 X+1 X+1 X 1 1 0 1 X 1 1 X X X 1 0 1 X+1 1 1 1 X X X X+1 X 0 1 X+1 1 X+1 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 X+1 1 1 X+1 0 X+1 X+1 X X+1 0 X 1 X X 1 X+1 1 X+1 1 X X 0 0 X 1 X X 0 1 X+1 0 X+1 X X X+1 X+1 X+1 0 0 0 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 X 0 X 0 X X X X 0 0 X X X X 0 0 0 X 0 0 0 0 X 0 0 X X 0 0 X 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 X 0 X X X 0 0 X X X 0 X 0 0 0 X X X X 0 X 0 X X X 0 X X X 0 X 0 0 X 0 0 0 X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 X X X X X 0 0 X 0 X 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 X X 0 X X 0 X X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+18x^39+69x^40+70x^41+116x^42+124x^43+211x^44+270x^45+328x^46+420x^47+494x^48+504x^49+545x^50+640x^51+580x^52+706x^53+661x^54+660x^55+697x^56+664x^57+722x^58+714x^59+831x^60+866x^61+1076x^62+1174x^63+1189x^64+1330x^65+1320x^66+1348x^67+1249x^68+1186x^69+1042x^70+930x^71+840x^72+792x^73+728x^74+602x^75+637x^76+562x^77+685x^78+722x^79+651x^80+662x^81+514x^82+522x^83+463x^84+448x^85+347x^86+244x^87+211x^88+122x^89+84x^90+64x^91+59x^92+10x^93+21x^94+8x^95+7x^96+3x^98+2x^99+2x^100+1x^104 The gray image is a linear code over GF(2) with n=132, k=15 and d=39. This code was found by Heurico 1.16 in 99.4 seconds.