The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 1 1 0 0 1 0 0 1 0 X 1 0 1 1 X 0 1 1 0 X X 0 X X 1 1 1 X 1 1 X 1 1 0 1 X 1 X X X 0 0 0 0 X 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 X+1 0 0 1 1 X+1 1 1 X+1 X X 0 1 1 0 X 1 1 X 1 1 1 X X 1 1 X 1 1 0 X+1 1 X 0 1 X+1 1 1 0 0 X 1 0 1 0 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 X+1 X+1 0 X X+1 0 X+1 0 1 0 1 0 1 X X+1 1 X 0 0 X+1 X X 1 1 X 1 X+1 X X 0 X+1 X+1 1 X+1 0 X+1 1 1 1 0 X 0 1 1 1 X 1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 X 0 X+1 0 X 1 1 1 0 0 X X 1 X+1 X+1 1 X+1 X+1 0 X+1 0 1 X+1 0 X X X X+1 1 X+1 0 1 X X+1 X+1 1 X+1 1 1 X 0 0 X+1 1 0 0 0 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 0 0 0 X X X X X X X X X X X X X X 0 X 0 X X 0 X X X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 X 0 X 0 X 0 X X X 0 0 0 0 0 X X X X 0 0 X 0 X X X X 0 0 X X 0 X 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X 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 0 0 X X X 0 0 X 0 X 0 X X X X 0 X X 0 X 0 X 0 X X 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X 0 X 0 X 0 X 0 X X X X 0 0 0 X 0 0 X 0 X X X 0 0 X 0 X X 0 0 X X 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 X X 0 0 X X X X X 0 0 X X 0 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 X X X X 0 X X 0 X 0 0 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 0 0 0 0 X X X 0 0 0 X 0 0 X 0 0 X X X 0 X 0 0 0 X X X X X 0 0 X X X 0 0 X X 0 X X X 0 0 0 X 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+34x^52+58x^53+170x^54+206x^55+316x^56+402x^57+505x^58+602x^59+683x^60+782x^61+835x^62+996x^63+1038x^64+1044x^65+1043x^66+1018x^67+1006x^68+1054x^69+940x^70+830x^71+681x^72+562x^73+438x^74+374x^75+260x^76+170x^77+131x^78+64x^79+57x^80+24x^81+27x^82+6x^83+16x^84+4x^86+3x^88+3x^90+1x^92 The gray image is a linear code over GF(2) with n=132, k=14 and d=52. This code was found by Heurico 1.16 in 70.8 seconds.