The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 0 X 1 1 1 1 X 1 0 0 1 0 1 X 1 1 0 0 0 X 0 1 X 0 1 0 0 1 1 X 0 X 1 0 1 X 1 1 X X 0 1 1 1 0 1 X X 0 1 1 0 1 X 1 1 X 1 0 0 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X X+1 X+1 0 0 1 0 1 1 X+1 1 1 1 X+1 0 X 0 X 1 0 1 X 1 1 1 X X+1 0 0 1 1 0 X 1 1 X+1 1 1 1 1 1 1 X 1 0 0 1 X 0 X+1 1 X X X+1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 X+1 X 0 X+1 1 1 X X+1 X X 1 X+1 X X+1 1 0 X+1 1 X 0 1 1 X 1 X 1 1 X 0 0 X+1 X+1 1 X X 1 0 0 X+1 0 X X+1 X+1 X+1 X+1 0 1 X+1 0 1 X+1 1 0 1 X X+1 1 X+1 0 X+1 X+1 0 X 0 0 0 1 1 0 1 1 1 0 X X+1 X X+1 X+1 0 0 X X+1 X+1 X+1 0 X X X+1 X+1 X X+1 1 0 0 X X X X+1 X 1 X+1 1 X+1 X+1 X 0 X X+1 1 X+1 X+1 1 1 X X+1 X+1 0 X 1 0 0 1 X 0 X 1 X+1 0 0 1 1 0 X+1 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X 0 X 0 X 0 X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 X X 0 X X X 0 X X 0 X X X X X 0 0 0 0 0 X 0 X 0 0 X 0 X X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 X X X 0 0 X 0 X 0 X 0 X 0 X X X 0 X 0 X X X 0 X X X 0 X X 0 0 X X 0 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X 0 X 0 X X X 0 X 0 X X X 0 X X 0 0 0 0 X X X 0 X 0 0 X 0 0 0 0 X X 0 0 0 X 0 0 X X X 0 X 0 X X 0 0 X 0 X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X X 0 0 X X 0 X X 0 X 0 0 0 X X 0 0 X X 0 0 0 0 0 0 0 X X X X X 0 0 X 0 X X X 0 0 0 X X X 0 0 0 0 0 X X 0 X 0 X generates a code of length 72 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+160x^62+342x^64+463x^66+468x^68+468x^70+486x^72+423x^74+388x^76+327x^78+255x^80+173x^82+96x^84+26x^86+12x^88+5x^90+3x^94 The gray image is a linear code over GF(2) with n=144, k=12 and d=62. This code was found by Heurico 1.16 in 2.78 seconds.