The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 1 0 0 X 1 1 1 X X 1 1 1 0 1 X 1 0 X X 1 1 1 1 0 1 0 1 1 0 1 1 X 1 0 1 X 0 1 1 X 0 X 1 1 1 1 1 X X 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 0 1 1 0 X X+1 1 X X 0 1 1 X+1 1 1 1 0 1 X+1 X+1 1 0 X 0 X 0 X 1 X+1 X+1 1 X+1 1 0 1 1 1 1 0 1 1 1 X X 0 0 1 0 1 X+1 0 0 X 1 1 0 X+1 X 0 X 1 1 1 X 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X X+1 1 0 1 X 1 0 1 1 X X+1 X 0 X+1 X+1 0 X+1 1 0 X X+1 1 0 1 X 1 X+1 X X X+1 1 1 1 0 1 X 1 X+1 0 1 1 X+1 X X 0 0 1 X 1 X 0 1 1 0 0 1 1 X 1 0 0 X+1 X 1 1 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X X 0 0 0 0 X 0 X 0 X 0 0 X 0 X X X X 0 0 0 X 0 0 0 X X 0 0 X X 0 0 0 X 0 0 X X 0 0 X X 0 0 0 X 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X 0 0 X 0 X 0 0 0 X X 0 X X 0 X X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 0 X 0 0 X 0 X 0 X 0 X 0 X X X X X X 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X X X 0 X X X X X X 0 0 0 X X 0 0 X 0 X X 0 X 0 0 X 0 0 X X X X X X 0 0 0 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 0 X 0 X 0 X X 0 0 0 0 X X 0 X X 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X 0 X X 0 X 0 0 X 0 0 0 X X X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 0 X X X 0 0 X X X 0 X X 0 X 0 0 X 0 0 0 X X 0 0 0 0 X X X X X X X 0 X X 0 0 0 0 0 X X X X X X 0 X 0 X X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X 0 0 X X 0 X 0 X 0 0 0 X X X X 0 X 0 0 0 X 0 X X X 0 X 0 0 0 X X 0 X 0 X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 0 0 X X X 0 X X 0 0 0 0 X 0 X 0 X 0 0 X X 0 0 0 0 X X X 0 X X X 0 0 X X 0 0 X X X X X X 0 0 X 0 0 X 0 X X X X 0 0 X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X 0 0 0 X X X X X X X 0 0 0 X X X X 0 X 0 0 0 X X X 0 0 0 0 X 0 X 0 X X 0 X 0 X X 0 0 X 0 X 0 X X X 0 X 0 X 0 generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+78x^72+36x^73+124x^74+128x^75+329x^76+244x^77+381x^78+412x^79+574x^80+606x^81+658x^82+754x^83+741x^84+860x^85+815x^86+1012x^87+868x^88+1030x^89+844x^90+930x^91+700x^92+844x^93+677x^94+580x^95+512x^96+362x^97+355x^98+230x^99+217x^100+100x^101+162x^102+44x^103+60x^104+14x^105+46x^106+6x^107+13x^108+28x^110+3x^112+5x^114+1x^118 The gray image is a linear code over GF(2) with n=176, k=14 and d=72. This code was found by Heurico 1.16 in 57.9 seconds.