The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 X 1 0 1 X X 0 1 0 1 X 1 1 1 X 0 1 1 X 0 0 1 1 1 X X 1 1 X X X 1 0 1 1 1 0 1 0 1 1 0 0 1 1 X 1 0 X 1 X X 1 0 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X X 0 1 X+1 0 X 1 1 1 1 0 X X X 1 X X 1 X 0 1 0 X+1 1 1 X X 1 1 1 1 1 X X X+1 X 1 X+1 X X+1 X+1 0 1 1 X X 1 0 X 1 X 1 X 1 X X+1 X+1 X 1 0 X X+1 0 0 1 X+1 0 1 X+1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 1 0 X 1 X 1 1 0 X 1 1 1 0 1 0 0 0 X 1 1 0 X+1 X+1 X+1 X 1 1 X+1 1 0 1 X+1 1 1 1 0 X+1 X+1 1 X X 1 X X+1 0 X X X 1 0 1 0 0 0 0 X 1 1 X+1 0 0 1 X+1 X X X X X 0 1 X+1 1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 0 X+1 X 1 1 0 0 1 X X+1 X X+1 0 X+1 0 1 1 0 X+1 1 X+1 X X 1 0 1 X 0 X 0 1 1 0 1 X 0 1 X 1 0 1 1 0 X X+1 1 0 1 X+1 0 0 X+1 0 X+1 1 X+1 0 1 1 X X X X+1 X+1 X 1 X+1 X+1 X+1 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X 0 X 0 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 X X 0 X 0 X 0 0 X 0 X X 0 X 0 0 X X X 0 0 X X X X X 0 X X X X 0 X X X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X 0 X 0 0 0 0 X X 0 X 0 X X 0 X X 0 0 X X 0 0 X X X 0 0 X X 0 0 X X 0 X X 0 0 0 0 X 0 X X 0 X 0 0 0 X X X X X X X X 0 0 0 0 0 X X X 0 0 0 0 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 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 X X X 0 X X X X X 0 0 X X 0 X 0 X X X X 0 0 X X 0 X 0 0 X X X X 0 X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 X X 0 X X 0 0 X X 0 X 0 X 0 X 0 0 0 0 X 0 X 0 0 X X X X X X 0 0 X 0 X 0 X 0 X X X 0 0 X 0 X X 0 0 X 0 0 X X X X 0 X 0 X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X X 0 X 0 0 0 0 X 0 X X 0 0 X X X 0 X 0 0 X X 0 0 0 0 0 X 0 X 0 X X 0 X X X 0 X 0 0 X X X 0 X 0 X X 0 X 0 X 0 0 X X X X X 0 X X X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X X X 0 0 X X 0 0 X X X 0 0 X 0 0 X X 0 X X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 0 0 X X X 0 X 0 X 0 0 X 0 X X X 0 X 0 X X 0 0 0 0 X X X X 0 X X 0 generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+39x^80+72x^81+117x^82+222x^83+310x^84+344x^85+436x^86+502x^87+558x^88+586x^89+676x^90+682x^91+729x^92+842x^93+814x^94+834x^95+824x^96+858x^97+861x^98+840x^99+770x^100+740x^101+713x^102+618x^103+556x^104+446x^105+323x^106+306x^107+212x^108+162x^109+109x^110+78x^111+63x^112+38x^113+34x^114+14x^115+24x^116+8x^117+7x^118+6x^120+5x^122+3x^124+1x^126+1x^128 The gray image is a linear code over GF(2) with n=192, k=14 and d=80. This code was found by Heurico 1.16 in 67.7 seconds.