The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 1 0 1 X 1 X 1 1 1 0 1 X 1 1 X 0 X 1 1 1 1 1 X 1 X 1 0 1 1 1 1 0 1 1 1 0 0 X 0 X 1 1 0 1 X 0 1 1 1 0 X 1 1 0 0 1 0 1 0 1 1 0 0 1 X+1 1 1 X 0 X 0 X+1 1 X+1 1 1 0 1 X X 1 0 0 1 1 1 1 X X 1 1 0 1 1 X+1 1 1 X X 1 1 0 1 1 X 1 1 1 1 X+1 X 1 X+1 1 1 X 0 1 1 1 X+1 X+1 1 0 0 1 1 1 0 1 0 1 X+1 X X 1 0 1 1 1 X+1 X X 1 1 0 1 1 0 X+1 X 1 0 1 X+1 0 X+1 1 1 X+1 1 X X+1 0 X+1 X+1 X+1 X X+1 0 X 1 X 1 X+1 X+1 1 X 0 0 X X+1 X 1 X 1 0 0 X+1 1 X+1 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X X X X 0 X X 0 0 X 0 X 0 X X X 0 X 0 0 X 0 X X X 0 X 0 0 X 0 X 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 X X X X 0 0 X 0 0 X 0 0 X X 0 0 X X X 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X X 0 X X X X X X X X 0 X 0 0 X 0 X X X 0 0 0 X 0 0 0 X X X 0 0 X 0 X X X 0 X X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X X 0 X X X 0 X X 0 X X 0 X X 0 0 X X X 0 X 0 X 0 X 0 X X X 0 0 X X 0 X 0 0 0 0 0 X 0 X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X X 0 0 0 X X X X 0 X 0 X 0 0 X X 0 X 0 X X 0 0 X X X 0 0 0 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 X X 0 0 X 0 0 X 0 X 0 0 X X X 0 X X X X 0 0 0 X X X 0 0 X X 0 X 0 0 0 0 0 X 0 X 0 0 X 0 0 X X X generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+47x^58+56x^59+138x^60+162x^61+168x^62+218x^63+215x^64+228x^65+265x^66+252x^67+231x^68+268x^69+261x^70+236x^71+218x^72+208x^73+145x^74+194x^75+145x^76+130x^77+91x^78+58x^79+56x^80+28x^81+35x^82+8x^83+13x^84+7x^86+6x^88+4x^90+2x^91+1x^92+1x^94 The gray image is a linear code over GF(2) with n=138, k=12 and d=58. This code was found by Heurico 1.16 in 2.87 seconds.