The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 0 1 1 0 1 1 X 1 1 0 1 1 1 1 X 1 1 1 1 1 X 1 0 X 1 0 1 1 X 0 1 X 1 1 1 0 0 1 1 X 1 0 1 1 X X 1 0 0 1 X 0 1 1 1 0 X 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 1 X+1 0 1 X X+1 1 X X+1 1 1 0 X+1 0 1 1 0 X 1 X+1 1 0 1 1 1 1 0 1 1 1 X+1 1 0 X+1 0 1 1 X X+1 1 1 1 X+1 0 X X 0 1 1 X 1 1 X 1 1 0 1 0 X+1 1 1 X 0 X X 1 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X 0 X X X X X 0 X X X X X 0 0 X X 0 X X 0 0 0 X 0 X X 0 0 X X 0 0 0 X X X X X X 0 0 X 0 0 0 0 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 X X X X X 0 0 X 0 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 X 0 X X 0 0 0 0 0 X 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X X X X X 0 0 X X 0 0 X 0 X 0 0 0 X X 0 0 X X X X X X 0 X 0 X 0 0 X X X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 0 0 X X 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X X 0 0 0 X 0 0 X X X X 0 0 X X X X 0 0 0 X X X 0 X X X 0 0 0 X 0 X 0 X 0 X 0 0 0 X 0 0 0 X 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 X X 0 X 0 0 0 0 0 X X X X X 0 X X 0 0 X 0 0 0 X 0 X 0 0 X 0 0 X X X 0 0 0 X X 0 X X X X X 0 0 X X X 0 X 0 X 0 X 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 X X 0 X 0 X X 0 X 0 0 X X 0 X X X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 0 0 X 0 X X 0 X 0 0 X X 0 X X X X 0 0 X X X X X 0 X X 0 X 0 X 0 0 X X X X X X X X X 0 0 generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+235x^76+283x^80+196x^84+154x^88+132x^92+7x^96+8x^100+2x^104+5x^108+1x^112 The gray image is a linear code over GF(2) with n=166, k=10 and d=76. This code was found by Heurico 1.16 in 26.8 seconds.