The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 X 1 X 1 1 0 1 0 X 1 0 0 1 X 1 1 1 1 1 1 1 1 X 1 1 X 1 X X 1 0 X X 1 0 0 1 1 1 0 1 1 1 X 0 1 0 1 X 1 X 0 X X 0 X 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X 1 X+1 X 0 X X X 1 1 1 1 1 X+1 1 X X X X 0 0 X+1 X+1 1 1 X+1 0 0 1 0 1 0 1 1 1 1 1 1 X+1 X 1 X+1 0 1 1 1 1 X 1 1 X+1 1 X 1 1 1 X X 0 0 0 X 1 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X+1 X 1 1 0 X 0 X 1 X X 1 0 X 1 0 0 X+1 1 X+1 X+1 X+1 X 1 X 1 X X+1 1 X 1 X+1 X+1 1 1 X 1 1 X+1 1 X+1 1 1 0 X X X X 0 X 0 1 1 0 X 1 X X 0 1 1 1 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X+1 X 1 0 1 1 X+1 1 X+1 0 0 0 X 1 0 X X+1 1 0 X+1 1 X 0 X X 1 0 X 0 0 1 0 1 0 X 1 1 X+1 X+1 0 X X+1 0 X X+1 1 1 X X+1 1 0 X+1 X+1 1 0 0 1 X X X+1 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 0 X X X 0 0 0 X X X X X X 0 0 X X 0 0 X X 0 0 0 X X 0 0 X X 0 X 0 0 X 0 X X 0 X X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X X 0 X X 0 0 X X X X X 0 X 0 0 0 0 X X X X X X X X 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 X X X X X 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 X X X X 0 X X X 0 0 X X X 0 0 0 X X X 0 X 0 0 X X X X X X X X 0 0 X 0 0 X 0 X X X 0 X X X 0 0 0 X X X X X X X X X 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X X 0 X X 0 0 X 0 0 0 0 X 0 X X X X X 0 X 0 X 0 X 0 0 0 0 X 0 0 X 0 X X 0 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X X X X 0 X X 0 X X 0 0 0 0 X 0 X 0 X X X X 0 0 X X 0 0 X X 0 0 0 X 0 0 X 0 X X X 0 X 0 0 0 0 0 X 0 X X X 0 0 X X 0 X 0 0 generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+54x^78+122x^79+203x^80+222x^81+274x^82+306x^83+355x^84+406x^85+431x^86+366x^87+397x^88+408x^89+417x^90+474x^91+384x^92+428x^93+386x^94+406x^95+353x^96+326x^97+279x^98+262x^99+228x^100+182x^101+140x^102+98x^103+99x^104+68x^105+51x^106+14x^107+24x^108+8x^109+12x^110+2x^112+3x^114+1x^116+1x^118+1x^128 The gray image is a linear code over GF(2) with n=182, k=13 and d=78. This code was found by Heurico 1.16 in 15.8 seconds.