The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 1 1 0 1 X 1 1 1 1 0 1 X 1 1 1 X 1 1 1 X X 1 1 1 1 0 0 1 0 1 1 0 1 1 X X 1 1 1 1 0 1 1 1 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 0 1 0 X+1 1 X+1 1 0 X+1 X+1 0 1 X 1 1 0 X 1 0 X+1 X+1 1 1 0 X X X+1 1 1 X 1 X+1 1 1 1 X 1 1 1 0 1 X+1 1 X 1 X+1 X+1 0 X 1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X 0 X X 0 X X 0 X X 0 0 0 0 0 X X X 0 0 X 0 X 0 X X 0 X X X X 0 X 0 0 0 0 0 0 0 0 X X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X 0 0 X X X X X 0 X 0 0 0 X X X X 0 X X X X X 0 0 0 0 X X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X 0 X 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 X X X 0 0 X X 0 X X X 0 0 X 0 0 X 0 0 X X 0 0 X X 0 0 0 X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X X X X 0 0 X X X 0 X 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X 0 X X X 0 X X 0 0 0 0 X 0 0 X X X 0 X X 0 X X X 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X X 0 X X X X X X X 0 0 X X X 0 0 0 X X X 0 0 X 0 X X 0 0 X 0 X 0 X X X 0 X X 0 0 0 X 0 0 X 0 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 0 X 0 0 0 X X 0 X X 0 X X 0 X 0 X 0 X X X 0 X X X X 0 0 X X X X 0 0 0 X X X X X X 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X X X 0 0 0 X X 0 X 0 0 X 0 X X 0 X X X 0 0 0 X X X 0 0 X X X 0 0 0 0 0 X X X X X X 0 X 0 X 0 X 0 X X 0 0 generates a code of length 68 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+44x^58+32x^59+87x^60+88x^61+124x^62+120x^63+124x^64+136x^65+110x^66+136x^67+120x^68+136x^69+92x^70+136x^71+105x^72+120x^73+89x^74+88x^75+40x^76+32x^77+29x^78+19x^80+12x^82+8x^84+10x^86+7x^88+1x^90+1x^92+1x^94 The gray image is a linear code over GF(2) with n=136, k=11 and d=58. This code was found by Heurico 1.16 in 0.797 seconds.