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 1 1 0 1 X 0 1 1 0 1 1 0 1 1 1 1 X 0 1 1 0 1 1 X 1 1 X 1 1 1 1 X 1 1 1 X 0 1 X 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 X+1 0 1 0 X+1 1 X+1 X+1 0 1 0 1 1 X+1 0 1 1 X 1 1 0 1 X 1 1 X+1 0 1 X+1 X 1 0 1 1 0 X 1 X 1 1 0 0 1 0 X+1 X 0 X+1 X X X+1 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X 0 X X 0 X X X 0 X 0 X X X X 0 0 X 0 0 X X X X X X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 0 X 0 0 X X 0 0 0 X X X X X 0 0 X 0 0 0 0 X X X X 0 0 X X 0 0 0 X 0 X X X 0 X 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 X X 0 0 0 X X X X X 0 0 X 0 X X X X 0 X 0 0 0 X 0 0 X X X X 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X 0 X 0 0 X 0 0 X 0 X X 0 0 0 X X X X X 0 X 0 0 X X X X X X X X X 0 0 X X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X 0 0 X X X X 0 X X X X 0 X 0 0 0 X X 0 0 0 0 0 0 X X X X 0 X 0 0 X X 0 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X 0 0 X X X 0 X 0 0 0 X X 0 X X 0 X X 0 X X X 0 X X X 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 0 X X X 0 0 X 0 X 0 X X 0 X 0 X 0 X X 0 X 0 X 0 0 0 0 X X X 0 X 0 0 X 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X 0 0 X 0 0 X 0 X X X 0 0 X X X 0 X 0 0 X 0 0 X 0 X X 0 X 0 X X X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 0 X 0 0 0 X X 0 X X 0 0 X X X 0 X X X X 0 0 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 X 0 0 X 0 0 0 0 0 generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+65x^52+2x^53+51x^54+34x^55+222x^56+88x^57+204x^58+178x^59+314x^60+322x^61+341x^62+464x^63+389x^64+624x^65+455x^66+692x^67+441x^68+598x^69+454x^70+466x^71+388x^72+312x^73+287x^74+186x^75+157x^76+102x^77+162x^78+28x^79+54x^80+69x^82+14x^84+15x^86+2x^88+9x^90+1x^92+1x^94 The gray image is a linear code over GF(2) with n=134, k=13 and d=52. This code was found by Heurico 1.16 in 11.9 seconds.