The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 X 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 X 1 X 1 X 1 1 1 1 0 0 1 1 X 1 1 1 1 X 1 X 1 1 1 1 0 1 X 1 1 1 0 1 1 1 1 1 0 0 X 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 X+1 1 X X+1 0 1 0 X+1 1 0 1 X X+1 1 0 X+1 1 1 X+1 0 1 1 1 X+1 1 X X+1 1 0 1 1 1 X 1 1 X+1 X X 1 0 1 0 0 1 X 1 X 1 1 1 0 1 X 1 X+1 0 X+1 1 X 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 0 X X X 0 X 0 X 0 0 X X 0 X X X X X 0 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 0 X X X 0 X X X X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 0 X X X X X 0 X X 0 X X X X X X 0 0 0 X X X 0 0 X X X X 0 0 X 0 X X X 0 X 0 0 0 X X 0 0 0 0 X 0 0 0 X X X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X X 0 X X X 0 0 0 X X X X X X X X 0 0 X X 0 0 0 0 0 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 0 0 X X X 0 X X 0 X X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X X 0 0 0 0 X X 0 X 0 X 0 0 X X 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 X 0 X 0 0 0 0 X X X 0 X 0 0 0 X 0 X 0 X X X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X X 0 X 0 X X 0 0 0 0 X X X 0 0 X 0 0 X X X X 0 0 X X 0 X X 0 X X X 0 0 0 0 0 0 X 0 X 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X 0 0 0 0 X 0 X 0 X X X X 0 X 0 0 X 0 0 X X X 0 X X X X 0 X X X 0 0 0 X 0 X X 0 0 X 0 X X 0 X X 0 0 0 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 X X 0 0 X 0 X 0 0 X 0 X X X 0 X 0 0 0 X X X X 0 X 0 X X X 0 0 0 X 0 0 X 0 X 0 X X X 0 X 0 0 X 0 0 X X X 0 X 0 X 0 0 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+111x^68+124x^70+271x^72+186x^74+291x^76+164x^78+279x^80+160x^82+198x^84+128x^86+74x^88+6x^90+31x^92+14x^96+9x^100+1x^104 The gray image is a linear code over GF(2) with n=156, k=11 and d=68. This code was found by Heurico 1.16 in 0.975 seconds.