The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 1 0 X 1 1 1 0 X 1 1 1 1 0 1 0 X 1 1 X 0 1 1 1 X 1 X 0 1 1 1 0 0 1 1 1 1 X 0 1 X 1 X 1 X 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 1 0 X+1 X 1 1 X+1 0 X X+1 1 X+1 1 1 0 1 1 1 0 X 1 1 0 1 1 X+1 0 0 1 1 0 1 1 X+1 1 1 X+1 X 0 X 0 1 0 0 1 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 X X 0 X 0 X X 0 X X 0 0 X X X X X 0 0 0 X X 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 X X X X X X 0 0 0 0 X 0 X X X 0 X 0 0 0 0 X X X X 0 0 X 0 X X 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X 0 X X 0 X X X 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 X 0 X X X 0 X 0 X 0 X 0 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 X X 0 X 0 0 0 0 X X X X 0 0 X 0 X 0 0 X X 0 0 0 0 X X X 0 0 0 X 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X 0 X 0 0 X X X X X 0 X 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X 0 X 0 X 0 X 0 0 X X X X 0 0 0 X X 0 0 X 0 0 X X X X 0 X 0 0 0 0 X 0 0 X 0 0 X X X 0 X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 0 0 X X X X 0 X X 0 0 X 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 X X X 0 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X X X 0 0 0 X X 0 0 X X 0 0 0 X X 0 0 X X X X X X 0 0 X X 0 0 0 0 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X 0 X 0 X 0 0 X X X X X X 0 X X X 0 X X X 0 0 0 X 0 0 X X X 0 0 0 X 0 X X X 0 0 X 0 0 X 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+75x^52+132x^54+294x^56+447x^58+648x^60+846x^62+1060x^64+1176x^66+1125x^68+857x^70+621x^72+444x^74+211x^76+142x^78+39x^80+44x^82+20x^84+6x^86+1x^88+1x^90+1x^92+1x^102 The gray image is a linear code over GF(2) with n=132, k=13 and d=52. This code was found by Heurico 1.16 in 12 seconds.