The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 0 X X 1 1 1 1 1 1 1 0 X X 1 1 0 0 X 1 1 X 1 0 1 0 0 1 0 1 1 1 1 1 1 1 1 X X 0 1 1 1 1 1 1 1 X X 1 X 1 0 0 1 1 X 1 X X X X 0 X 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 1 1 1 X+1 X+1 X+1 1 1 X+1 0 1 1 1 X 1 1 1 X+1 1 X 0 X 0 X 1 X 1 0 X+1 X+1 0 0 X X X+1 X 1 0 1 X 1 0 X X 1 X 0 0 X X+1 X 1 X+1 X+1 X 0 1 1 1 X 1 X 1 1 0 X 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X X 0 X 0 0 X 1 X+1 X+1 X+1 1 X+1 1 X+1 1 X+1 X+1 X+1 X+1 X+1 1 X+1 X+1 X+1 X+1 X 1 1 1 1 X 1 1 1 0 X+1 1 1 X X 0 1 X+1 1 X+1 1 X X+1 0 X+1 X X+1 0 0 X+1 1 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 1 X+1 X X 1 X+1 X X 1 X+1 1 X+1 X 0 X+1 X+1 0 1 X+1 1 1 X+1 X X+1 X+1 X X X+1 0 1 X 0 X+1 X+1 0 X 1 X X+1 X+1 X 0 X+1 0 X 0 X+1 X 1 1 0 X 0 1 1 X+1 1 1 0 0 X 0 X X+1 1 0 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 0 0 X X 0 X 1 1 1 0 X X+1 X+1 0 1 0 1 1 0 X+1 X+1 X X+1 0 0 X+1 0 1 0 X 1 X 0 X X+1 0 X X X+1 X X 1 X+1 0 X+1 0 X+1 1 X+1 1 X 0 0 1 X 0 X X 0 1 1 1 X+1 X+1 X 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 1 X+1 1 X+1 1 X X 0 1 0 X+1 X 1 1 X+1 0 X+1 0 X X X+1 0 X+1 X 0 X X+1 X+1 0 0 X X+1 0 X+1 X+1 0 X+1 0 1 X 0 X+1 X X 1 X+1 X+1 0 1 0 X+1 0 X 0 0 X+1 X 0 1 X+1 X X+1 1 X X+1 1 X 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X X+1 X X+1 X X+1 0 1 X 0 X+1 1 X+1 0 1 X X X 1 X 1 X+1 X+1 X+1 1 X+1 X+1 1 X+1 X X+1 X X+1 X X+1 0 0 0 X+1 X 1 1 X+1 X 1 X 1 X+1 1 X 1 0 0 X X X 1 X 0 1 0 X X+1 X+1 X+1 X X X+1 generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+91x^70+132x^71+210x^72+334x^73+479x^74+456x^75+584x^76+660x^77+681x^78+734x^79+745x^80+866x^81+868x^82+972x^83+828x^84+902x^85+925x^86+874x^87+802x^88+722x^89+688x^90+636x^91+553x^92+454x^93+379x^94+228x^95+208x^96+132x^97+108x^98+54x^99+34x^100+24x^101+4x^102+8x^103+2x^104+2x^105+1x^106+2x^107+1x^140 The gray image is a linear code over GF(2) with n=168, k=14 and d=70. This code was found by Heurico 1.16 in 96.9 seconds.