The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X X 0 1 1 1 1 0 1 1 1 0 0 0 X 1 X 1 1 1 1 1 1 1 1 1 0 1 1 1 X X 1 0 0 1 1 X 1 X X 1 1 1 1 0 0 0 X 1 1 0 X X 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 1 X X 1 1 X 1 0 1 0 X+1 X 0 X 1 1 X X+1 1 X+1 1 1 X+1 1 0 X X X 0 X+1 1 X 0 X 1 1 X 1 1 1 0 0 1 X+1 0 1 X+1 1 X 1 1 0 1 0 1 X X 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 1 1 0 X 0 0 X+1 X+1 1 1 X X+1 1 1 1 X 1 1 X+1 X X+1 X 0 1 0 X 0 1 X+1 0 X 1 1 0 X 0 1 1 1 X 0 X X X+1 X+1 X 0 X X+1 X+1 1 0 0 X 0 X 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 1 1 0 1 X+1 X 1 X X 0 0 X 1 X 0 1 1 X+1 0 X+1 1 X X 1 X 1 1 1 1 X X 0 X+1 X 0 0 1 X+1 0 0 1 1 0 X X+1 X+1 1 1 X X X+1 X+1 0 X 1 0 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 X X X+1 X X+1 X+1 1 X X+1 X+1 1 X X 0 1 0 X 0 X X+1 X+1 X X+1 X+1 1 X X+1 X+1 0 0 X 0 X 1 X 1 X 1 X+1 X+1 X+1 0 0 X+1 X 1 X+1 X 1 X X 0 X X+1 0 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X+1 0 1 X+1 X+1 X 0 X+1 X X+1 1 X+1 X+1 1 1 X 0 X+1 0 X X+1 0 X+1 X 1 X X X+1 1 X X 1 1 0 X+1 X+1 X+1 0 1 1 1 X 0 X+1 1 X+1 X+1 X+1 0 X+1 X+1 0 0 1 X+1 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 X X X X X X 0 X X 0 0 0 0 X 0 0 0 X 0 0 0 X X X X 0 X 0 0 generates a code of length 72 over Z2[X]/(X^2) who�s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+37x^60+120x^61+203x^62+276x^63+329x^64+382x^65+380x^66+368x^67+417x^68+442x^69+451x^70+456x^71+486x^72+498x^73+504x^74+470x^75+405x^76+370x^77+375x^78+338x^79+206x^80+192x^81+156x^82+114x^83+93x^84+36x^85+33x^86+26x^87+9x^88+8x^89+8x^90+2x^94+1x^104 The gray image is a linear code over GF(2) with n=144, k=13 and d=60. This code was found by Heurico 1.16 in 11.2 seconds.