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 0 1 1 1 1 0 1 0 1 0 1 1 1 X 1 1 X 1 1 0 1 0 X 1 1 1 X X 1 0 X 1 X 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 1 X 0 X+1 X 1 X+1 1 0 1 X+1 X X 1 0 X+1 1 X 1 1 0 1 1 1 X+1 1 X 0 0 1 1 X 1 1 1 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 X X 0 X X 0 X 0 X X 0 X X X 0 0 0 0 X X X X X 0 X X X X 0 X 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 X X X X 0 0 X 0 0 X X 0 X 0 X X X X 0 0 0 0 0 0 X X 0 0 X X 0 X 0 X 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 X 0 X 0 X 0 X 0 0 X X X 0 0 0 X 0 0 X X X X X 0 X X 0 0 X X 0 0 X 0 X 0 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 X 0 0 0 0 X 0 0 X X 0 0 0 X X X X X X 0 0 X X X 0 0 0 X X 0 X X X X 0 0 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 X X 0 0 X 0 X 0 X 0 X 0 X X 0 X 0 0 0 X X X 0 0 0 0 X X 0 X 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 X 0 X X 0 X X 0 X X 0 0 X 0 X X 0 0 X 0 0 0 X 0 X X X 0 0 0 X 0 0 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 X 0 0 X 0 X X X X 0 0 X X X 0 0 X 0 0 X X X X 0 0 X X X X X 0 X X 0 X 0 generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+46x^54+36x^55+89x^56+84x^57+109x^58+108x^59+121x^60+136x^61+122x^62+140x^63+126x^64+156x^65+106x^66+156x^67+85x^68+100x^69+69x^70+64x^71+59x^72+32x^73+37x^74+8x^75+15x^76+4x^77+16x^78+13x^80+4x^82+3x^84+3x^86 The gray image is a linear code over GF(2) with n=128, k=11 and d=54. This code was found by Heurico 1.16 in 0.726 seconds.