The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 0 1 0 1 0 1 1 X 1 1 0 1 X 1 1 0 X 1 1 1 0 0 X 1 1 0 1 1 1 X 1 1 1 X X X 1 1 1 X 1 1 1 1 0 0 X 1 0 1 X 1 1 1 1 X 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 X X+1 1 X 0 X+1 0 1 X X+1 1 X 1 X 1 X 1 1 X 1 1 1 1 X X+1 1 X 1 X 1 X+1 X 1 X 0 1 X X X+1 X 0 1 0 1 1 1 0 X 1 X+1 1 X+1 1 0 0 1 0 1 X 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X+1 1 0 0 1 1 0 0 1 X+1 1 0 0 0 X 1 1 1 X X+1 X 1 0 X+1 X 1 X+1 X+1 1 X 0 1 X 0 1 1 0 X X+1 1 1 X+1 X+1 1 0 X X+1 1 X+1 X+1 X X X X+1 1 X+1 1 X X 1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 X X X 0 0 0 0 X X 0 X X X 0 0 0 X 0 X 0 0 0 0 X X 0 0 X X X X X X X X 0 X 0 X 0 X 0 X X X 0 0 0 X X X 0 X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X 0 X X 0 0 X X 0 X X X 0 0 X X 0 X X 0 X X 0 X 0 0 X 0 0 X X X 0 0 0 X X 0 0 0 X 0 X 0 0 0 0 0 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X 0 X 0 0 X 0 X X 0 X X 0 0 X X X X X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X X X 0 X X 0 X X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 0 X 0 X 0 0 X X X 0 0 X X 0 0 0 0 X X X X X X 0 X 0 X X 0 0 0 0 X X X X X X X X 0 X X 0 0 X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 X 0 X 0 X X 0 0 0 0 X X X X X 0 0 X 0 X 0 0 0 X X 0 X X 0 X X X X X X X X X 0 0 0 X X 0 0 X 0 X 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X X X X 0 X X 0 0 X X X X X X 0 X 0 X 0 0 X X 0 0 X X X X 0 0 X X X X 0 0 X X 0 X 0 X 0 0 0 0 0 X X 0 X X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 X X X 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 X X X 0 0 X 0 X 0 X 0 X 0 X X 0 X X 0 0 0 0 X X 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 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 0 0 X X X X X X X X X X X X X X X X X X 0 X X X 0 X 0 X X X X X X 0 X X X 0 0 X 0 0 0 X 0 X generates a code of length 82 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+41x^66+36x^67+132x^68+130x^69+231x^70+224x^71+387x^72+438x^73+497x^74+586x^75+627x^76+714x^77+789x^78+886x^79+892x^80+1002x^81+997x^82+1104x^83+911x^84+954x^85+807x^86+780x^87+705x^88+590x^89+474x^90+378x^91+288x^92+214x^93+188x^94+94x^95+101x^96+46x^97+50x^98+8x^99+39x^100+4x^101+16x^102+10x^104+4x^105+3x^106+3x^108+1x^110+2x^114 The gray image is a linear code over GF(2) with n=164, k=14 and d=66. This code was found by Heurico 1.16 in 51.7 seconds.