The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 X 0 X 0 1 1 X 1 0 X 0 0 1 1 1 X 1 1 1 X 1 0 X 1 X 0 1 1 1 0 X 0 0 1 1 1 1 0 0 1 1 X 1 X 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 X+1 1 1 X+1 1 X X X 1 1 X X X 1 1 X+1 1 X 1 1 X+1 X 1 X 1 X 1 X 1 X 0 1 X X+1 X 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X+1 1 X 1 X 1 1 1 1 1 0 X+1 X+1 0 1 1 X 0 0 1 1 0 X+1 1 0 X 0 X 1 X+1 X 0 X 1 X 1 1 X X 1 1 1 X 1 1 X 0 0 0 0 1 0 0 0 0 0 1 1 X 0 1 X 0 X+1 X+1 1 1 1 1 0 X 1 0 X X+1 X 0 X 1 1 X+1 1 X 0 0 X X+1 1 1 X 0 0 1 1 1 X X+1 X+1 1 0 0 1 X 1 0 X X 1 1 1 X X 1 0 0 0 0 0 1 0 0 0 1 0 X 1 X+1 0 0 X X+1 X+1 X+1 1 X X+1 X+1 X+1 X+1 X X+1 X+1 0 0 X 0 X+1 X X X 1 0 X+1 1 0 X 0 X+1 X+1 X+1 X 1 0 X+1 X+1 1 1 1 1 1 0 X 0 X+1 X+1 X+1 X+1 1 0 X+1 0 0 0 0 0 0 1 0 0 1 X X+1 X X+1 1 X+1 X+1 X X+1 X X+1 X X+1 0 X+1 0 0 1 X 1 X X+1 1 1 1 X+1 0 0 0 X 1 X 1 0 X+1 1 0 X+1 0 X+1 X+1 0 X+1 X 0 1 0 0 0 1 X X+1 X 1 0 X+1 1 1 0 0 0 0 0 0 1 0 1 X+1 0 1 X 1 1 X X+1 0 X X 1 1 X X 0 1 1 0 X X+1 1 X+1 1 X 1 1 X+1 0 1 X+1 1 X X X+1 X X 0 1 X X+1 1 X+1 0 X X X+1 1 1 1 1 X 0 0 X+1 0 1 0 0 0 0 0 0 0 0 1 X 1 X 1 X+1 1 1 1 1 X+1 X X 0 X X 0 X+1 1 X X X 0 1 X 1 1 0 X 0 1 X+1 1 1 X+1 X+1 0 0 X+1 1 0 0 X+1 1 0 1 X+1 0 X X 1 0 0 X 1 1 1 X+1 1 0 generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 51. Homogenous weight enumerator: w(x)=1x^0+38x^51+138x^52+316x^53+449x^54+608x^55+949x^56+1114x^57+1408x^58+1778x^59+2126x^60+2610x^61+2950x^62+3506x^63+3681x^64+4042x^65+4484x^66+4388x^67+4369x^68+4370x^69+4193x^70+3640x^71+3321x^72+2698x^73+2026x^74+1800x^75+1400x^76+970x^77+684x^78+526x^79+341x^80+218x^81+168x^82+90x^83+55x^84+38x^85+20x^86+8x^87+2x^88+8x^89+2x^90+2x^91+1x^96 The gray image is a linear code over GF(2) with n=134, k=16 and d=51. This code was found by Heurico 1.11 in 240 seconds.