The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 X 1 1 1 0 1 1 X 1 1 X X 1 0 1 1 1 1 0 1 1 1 1 1 X X 1 1 X X X 1 1 1 1 X 1 1 X 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 X X 1 X 1 1 1 X 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 1 X+1 1 0 X+1 0 X 1 1 X+1 X+1 X+1 1 0 X+1 X+1 1 0 1 1 X+1 0 1 1 X 1 X X X+1 0 1 0 X+1 X X+1 X+1 1 1 1 0 1 1 1 0 X 1 1 1 0 1 1 1 1 X+1 0 0 0 X+1 0 0 1 X X 1 0 1 1 0 1 1 0 X X+1 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X X 0 X X X 0 X 0 0 0 0 X 0 X X 0 0 X 0 X 0 0 X 0 X X X X X X 0 X X X X 0 0 0 0 X 0 0 X X 0 X X 0 X X X X X 0 0 0 0 X 0 0 0 X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 0 X X X X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 0 0 X X 0 X 0 0 X X 0 X 0 X X 0 X X X X X 0 X X X 0 0 0 X 0 0 0 X 0 X X 0 0 0 0 X X X 0 X X X 0 X 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X 0 0 0 X X X X 0 X X X 0 X X 0 0 0 X 0 X 0 0 X X X 0 X 0 0 X X X X 0 0 0 0 0 0 X X X 0 0 X X X 0 0 0 0 0 X X X 0 0 X 0 0 X X X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X X X 0 X 0 0 X X X X X X 0 X X X X X 0 X X 0 0 0 X 0 X X X 0 X X 0 0 X X X 0 X 0 0 X 0 X 0 0 0 X X 0 0 X X 0 X X X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 0 0 0 X 0 0 X X X 0 X X 0 X X 0 X X X 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 0 X X X X 0 X X X 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X X 0 0 0 X 0 X 0 X 0 X 0 X 0 0 0 X X X X X X X 0 0 0 X X 0 X 0 X 0 X X X 0 0 X X 0 X X 0 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X X 0 X 0 X X 0 X 0 0 0 0 X X 0 X X 0 X 0 0 0 X X X 0 0 0 X X 0 X X X 0 0 X X 0 X X X 0 0 X X X X X X 0 X X 0 0 0 X X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X X X X X X 0 0 0 0 X X X 0 X 0 0 0 0 X 0 X X X X X X X X X 0 X 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 0 0 0 X X 0 0 X 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X X X 0 X X 0 X 0 X X X 0 X X X X 0 X 0 X 0 0 0 0 X 0 X 0 X 0 X 0 X X 0 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X generates a code of length 91 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+123x^76+66x^78+454x^80+294x^82+766x^84+590x^86+962x^88+738x^90+1119x^92+798x^94+838x^96+426x^98+523x^100+146x^102+201x^104+14x^106+80x^108+39x^112+11x^116+1x^120+2x^124 The gray image is a linear code over GF(2) with n=182, k=13 and d=76. This code was found by Heurico 1.16 in 19.2 seconds.