The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 X X 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 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 0 0 0 X X X X X X X X X X X X X X X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X 0 X 0 X 0 X X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 X 0 X X X X 0 0 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X 0 X X 0 0 0 X X X 0 X 0 0 X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X X X 0 X X 0 X 0 0 0 X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X X 0 0 X X 0 0 X X 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 X X X X X 0 X X 0 0 0 X 0 0 X 0 X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 0 0 0 X 0 X X X X X 0 X X X 0 X X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 0 X X X 0 X 0 X X 0 X 0 0 0 0 0 0 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+114x^36+380x^40+572x^44+128x^46+1378x^48+1280x^50+2139x^52+640x^54+840x^56+482x^60+177x^64+51x^68+8x^72+1x^76+1x^92 The gray image is a linear code over GF(2) with n=102, k=13 and d=36. This code was found by Heurico 1.16 in 19.4 seconds.