The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 X 1 1 1 1 1 0 X 1 1 1 1 1 0 X 1 1 X 1 1 0 1 1 X 1 1 1 0 0 1 X 1 1 1 X 1 1 1 X 0 1 1 0 1 1 X X 1 0 1 0 1 1 1 X X 1 1 1 0 1 1 1 1 0 1 0 1 X 1 1 0 1 X 0 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 0 X+1 1 X+1 1 0 0 X X+1 X+1 1 1 0 0 X X+1 1 1 1 X X 1 X+1 X+1 1 X+1 0 1 X+1 0 0 1 1 X+1 1 X+1 X+1 X 1 0 0 1 1 1 X+1 0 1 0 1 1 1 X+1 1 0 1 X X+1 X+1 1 1 1 0 X+1 1 0 1 X X+1 X X+1 1 X+1 1 1 X+1 0 X+1 0 1 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X 0 0 X X X 0 X X X 0 X 0 X 0 0 0 X X X 0 X 0 0 0 0 X X 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X X X X 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X X X X X X 0 X X 0 X 0 X 0 0 0 X X 0 X X 0 0 0 X 0 X X X X 0 0 X X X 0 X 0 0 X X X X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X 0 X 0 0 X X X 0 0 X X X X X X X X 0 0 X 0 0 0 0 X X X X X X 0 X X 0 0 X 0 X X 0 0 0 0 0 X X X 0 0 X X X X 0 X 0 0 X X 0 X X X 0 0 X X 0 0 X 0 X 0 0 X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X X 0 0 X X X X 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 X 0 X X X 0 0 X X X X 0 0 0 X 0 X X X 0 0 X 0 0 X X X X 0 X 0 X 0 X 0 0 X X X 0 X 0 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X X 0 0 0 0 0 X 0 X 0 X X X 0 0 X X X X X 0 X X X X 0 0 X X 0 X X X 0 X 0 X X X X 0 0 0 0 X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X X X X X 0 X X 0 0 X 0 X X 0 X 0 X X X X 0 X X X X 0 X 0 X X X 0 X 0 X X X 0 0 X 0 X 0 0 X X X X 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 X X X X X 0 X X X 0 X 0 0 0 0 X X X 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 0 X X 0 0 X X 0 X X X 0 0 X 0 X X X 0 X 0 0 0 X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X X X X X 0 X 0 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 X X 0 0 X 0 0 X 0 0 X X X X X 0 X X 0 0 X X X X X X X 0 X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 X X X 0 X 0 X 0 X 0 0 0 0 0 X X X 0 0 0 X 0 0 0 0 X 0 X X 0 X X X 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 0 X 0 X X 0 0 0 0 X 0 0 X 0 X 0 X 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X X X 0 X 0 X X X X X 0 0 X X 0 0 X 0 0 X X 0 0 X X 0 X 0 0 X X X X X X 0 X X X 0 X X 0 0 0 0 X X 0 0 0 0 X X 0 0 X X X X 0 0 X X 0 X X 0 X X 0 0 0 0 0 generates a code of length 97 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+198x^80+58x^82+571x^84+310x^86+1091x^88+894x^90+1746x^92+1384x^94+2062x^96+1560x^98+1972x^100+1254x^102+1447x^104+518x^106+683x^108+156x^110+314x^112+10x^114+104x^116+38x^120+11x^124+1x^132+1x^144 The gray image is a linear code over GF(2) with n=194, k=14 and d=80. This code was found by Heurico 1.16 in 96.6 seconds.