The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 0 1 X 1 1 X 1 0 X 1 0 1 1 1 0 0 1 X X 1 1 0 1 1 X 1 1 1 0 X X X 1 1 0 1 1 1 X 0 X X 1 1 X X X 1 1 1 1 1 1 X 1 1 X X 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X+1 X X+1 0 1 0 1 X X 0 0 X 0 1 X 1 1 1 X+1 X+1 X X+1 1 1 X X+1 X 1 1 1 1 0 1 X X+1 1 1 1 1 X X 1 1 1 1 1 X+1 1 0 X+1 1 X+1 1 X+1 X+1 1 1 0 0 1 0 1 1 0 1 0 X+1 X 0 X+1 1 1 X X+1 X+1 X+1 X 0 0 1 X 0 1 1 1 0 0 1 X 1 0 X+1 X+1 X X 1 X+1 X+1 0 0 X 0 X 1 1 0 X X+1 1 1 X X X+1 X+1 X X+1 0 1 0 1 0 X+1 0 0 1 0 X 0 0 0 1 1 0 1 1 1 0 X X+1 X X+1 X+1 X 0 X+1 1 1 1 1 X+1 0 1 0 X+1 X 1 0 X 0 X 1 0 1 X 1 X+1 0 X X+1 1 X+1 X 0 X+1 X X+1 X+1 X+1 0 X 1 0 X+1 X 1 1 0 X+1 X+1 X X+1 X+1 0 1 1 X 0 0 0 0 0 X 0 0 0 0 X 0 X X 0 X X X 0 0 0 X 0 0 X X X X X X 0 X X X 0 0 X 0 X 0 X 0 X X 0 X 0 X X 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 0 X 0 0 0 X 0 X X X X X 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 X X 0 X X X X X 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X X 0 0 0 0 0 X X X X X X X 0 X 0 0 X X 0 X X 0 0 0 X X X 0 X 0 X 0 0 0 0 X 0 X X 0 X X X X X X 0 X 0 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 0 X 0 X X 0 0 0 0 0 0 X X X X 0 X 0 0 X 0 0 0 X 0 0 X X X 0 X X 0 X 0 X 0 0 X X X X X 0 0 0 X 0 0 X X X generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+149x^60+312x^62+527x^64+394x^66+556x^68+414x^70+476x^72+346x^74+394x^76+250x^78+150x^80+68x^82+42x^84+8x^86+6x^88+3x^92 The gray image is a linear code over GF(2) with n=140, k=12 and d=60. This code was found by Heurico 1.16 in 2.67 seconds.