The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 0 1 X 0 1 1 1 1 1 0 0 1 0 X 1 X 1 X X X 1 1 X 1 0 1 X X X 1 1 1 X 1 1 X 0 1 1 X 1 0 0 X 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 0 X+1 0 X 0 1 1 1 X 0 X 1 0 0 1 1 1 X 1 1 1 0 0 1 0 1 X 1 X+1 1 1 1 1 1 0 1 X X 1 1 1 1 X+1 X 1 X+1 X 1 1 0 X+1 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 0 1 1 0 1 1 1 0 1 X+1 1 0 X X+1 X 1 X 1 1 X+1 1 X 1 0 0 1 X X+1 1 X+1 X 1 X X+1 X 1 1 1 1 0 0 X 1 X 1 X 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X 0 X X X 0 X X 0 X 0 0 X X 0 X X X 0 0 X X X 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X 0 0 X 0 0 0 0 0 0 X 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 0 X X X 0 0 X 0 X X X 0 X 0 0 0 0 X 0 0 X 0 X X X X X 0 X X 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X 0 0 X X X 0 X 0 0 X X X 0 0 X 0 X X X X 0 X X 0 X X X 0 X 0 X X 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 X 0 0 0 X 0 X 0 0 0 X X X X 0 X 0 0 0 X 0 X X X X 0 0 0 0 X X X X 0 X X 0 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 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 X 0 X X X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X 0 X X 0 X 0 X X X 0 X X 0 0 X X 0 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X X X X X X 0 X X 0 X 0 0 0 0 X 0 0 X X X X 0 X X X 0 X X 0 X 0 X X X X X X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 0 0 X X X 0 0 0 X X X X 0 X X X X X X 0 0 X 0 0 X 0 0 X X 0 0 X generates a code of length 65 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+33x^50+24x^51+125x^52+100x^53+240x^54+216x^55+431x^56+434x^57+543x^58+692x^59+753x^60+942x^61+960x^62+1088x^63+977x^64+1132x^65+1081x^66+1168x^67+951x^68+976x^69+786x^70+680x^71+576x^72+410x^73+320x^74+196x^75+211x^76+94x^77+92x^78+32x^79+62x^80+8x^81+38x^82+8x^84+2x^86+1x^88+1x^106 The gray image is a linear code over GF(2) with n=130, k=14 and d=50. This code was found by Heurico 1.16 in 38.7 seconds.