The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 1 X 1 1 0 1 0 X 1 1 X 1 0 1 0 1 0 0 1 1 1 1 1 X 1 1 X X 1 X 1 0 1 1 0 1 0 1 X 1 1 1 1 0 1 X 1 1 X 0 1 0 X X 0 1 1 1 1 1 1 0 0 0 0 X 1 1 X 0 1 0 0 0 0 0 0 0 X 0 0 X X X X 1 1 1 1 1 1 X+1 1 1 X+1 1 1 0 1 X 1 1 1 0 X+1 1 X 1 X 1 X X 0 X 1 0 0 X 1 X+1 1 X+1 1 X+1 1 X X+1 1 0 1 0 X 0 1 1 1 1 1 1 X 1 X+1 1 X+1 1 X+1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 X 0 1 X+1 1 X+1 1 1 X 1 X+1 X+1 X X+1 0 X+1 0 X+1 X+1 X X X 1 X+1 0 X+1 1 X 0 X+1 X+1 0 X 1 0 1 1 X+1 1 X+1 1 X+1 X X 0 X+1 0 X+1 1 1 X X X X 0 1 X+1 1 X+1 1 1 1 1 1 1 X+1 X X+1 0 0 X+1 1 1 1 1 0 X+1 1 0 0 0 1 0 1 1 X 1 1 X X X X+1 X+1 1 1 0 X 1 X+1 X+1 X+1 X 1 X+1 0 0 X+1 X+1 X X+1 X 1 X+1 X 1 X X X X+1 0 1 0 1 X+1 X+1 X+1 1 X+1 0 0 1 0 0 X+1 X+1 0 0 X 0 0 0 X+1 X 0 X+1 0 0 X X X X 1 0 X X X+1 1 0 X 1 0 1 1 X 0 0 0 0 1 1 0 1 0 1 X X+1 1 1 X 1 X+1 X+1 1 X+1 X+1 1 X 0 0 X X 1 1 X+1 1 0 1 1 X X X X 1 X 0 X+1 X 1 1 0 X X 1 X+1 X+1 X 0 X+1 1 1 1 X 0 1 1 1 1 X 1 X+1 1 1 0 0 X X 0 X+1 0 X X+1 0 0 X+1 1 X+1 X+1 1 X 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 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X X X X X X X 0 X X 0 X X X 0 X X X X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 0 X 0 X X X X X X 0 X 0 0 X 0 0 X X X X 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X X 0 0 X X generates a code of length 86 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+222x^76+374x^78+481x^80+434x^82+499x^84+398x^86+375x^88+352x^90+312x^92+220x^94+196x^96+116x^98+69x^100+24x^102+19x^104+2x^106+2x^108 The gray image is a linear code over GF(2) with n=172, k=12 and d=76. This code was found by Heurico 1.16 in 4.69 seconds.