The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 1 1 1 1 0 X 1 X 1 1 0 1 1 0 X 1 0 1 1 0 1 1 X 1 1 1 1 X X 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X 1 X+1 X+1 0 X+1 X+1 1 1 0 1 0 X 1 1 X 1 1 X+1 1 0 0 1 0 X+1 1 X X+1 0 1 1 1 1 1 X 0 1 X+1 X X+1 X+1 0 X X+1 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X 0 X X X X X 0 0 0 0 X X X 0 X X 0 X 0 X 0 X 0 0 X 0 X X 0 X X 0 0 X 0 0 0 X X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X X 0 X X 0 0 0 X 0 X X 0 X 0 X X 0 X 0 0 X X 0 X X 0 X X X 0 X X 0 0 X X X 0 X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 X X 0 0 0 0 X X X 0 0 0 X X X X 0 X 0 X X 0 0 X X X X X X X 0 X X 0 X 0 0 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X 0 X X X X 0 0 X X 0 X X X 0 X X 0 0 X X X X 0 0 X X 0 X 0 X 0 0 0 0 0 0 X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X 0 X 0 0 0 X X X 0 X X 0 X X 0 X X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X X X X 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 X 0 X X X 0 X X X 0 0 X 0 X X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 X 0 X 0 X 0 X X 0 0 X X 0 0 X 0 X 0 X X X X 0 0 0 X X 0 X 0 0 X X X X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X 0 X X 0 X X X X X X 0 0 X X X X 0 X X 0 X 0 0 X 0 X X X 0 X X X 0 X 0 X 0 0 0 X 0 0 X X generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+98x^52+32x^54+356x^56+288x^58+554x^60+448x^62+606x^64+448x^66+515x^68+288x^70+294x^72+32x^74+88x^76+35x^80+9x^84+4x^88 The gray image is a linear code over GF(2) with n=128, k=12 and d=52. This code was found by Heurico 1.16 in 2.99 seconds.