The generator matrix 1 0 0 0 0 0 0 0 1 1 1 1 X 1 1 0 1 1 X X 0 1 1 X 1 1 0 1 X X X 1 X 1 1 1 0 X X 1 1 0 1 1 1 1 0 0 1 1 X 0 X 1 X 1 X 1 1 X X 1 1 1 1 1 X 0 1 0 1 X 1 0 1 X 1 1 1 0 0 0 0 1 1 1 X 1 1 X 1 1 X 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X 0 X 0 0 X 0 X X X 0 X 0 0 0 0 0 0 X X 0 X 0 0 1 1 1 1 1 1 1 1 1 X+1 1 1 X+1 1 1 1 1 1 1 X+1 1 1 X+1 1 X+1 1 X+1 X X+1 1 X+1 X+1 1 1 X 1 0 X+1 0 0 1 X+1 1 X 1 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 1 1 1 X+1 1 1 1 1 1 1 X+1 1 X+1 1 X 1 1 1 X+1 1 0 X+1 X 0 1 1 X X+1 X+1 X+1 X X 0 0 X+1 X+1 1 1 X+1 X X+1 X+1 0 X+1 1 0 X+1 X X 1 1 X+1 1 X 0 0 0 X+1 0 1 1 1 0 X 1 1 1 1 X 1 X+1 1 X+1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 X+1 1 1 1 1 X X+1 1 X 1 0 1 X+1 0 X 1 0 X+1 X+1 X 0 X X+1 1 1 1 1 X+1 0 1 X 1 X+1 1 X+1 0 X 1 1 X 1 1 X X+1 X+1 X X+1 X+1 X+1 X+1 0 X X+1 X+1 X+1 X+1 X+1 X+1 X 0 X+1 1 0 0 X+1 X+1 X+1 X+1 X+1 X+1 0 0 1 0 X X 1 1 0 0 0 0 0 1 0 0 0 0 1 X X+1 1 X 0 0 1 X+1 X+1 X+1 X+1 X+1 1 0 X+1 1 X+1 X+1 1 X X+1 0 0 X 0 1 X X X+1 1 X 0 X+1 X X 1 0 X+1 X 0 X+1 X X+1 0 1 1 0 0 X+1 X X+1 X+1 1 X 0 1 0 X+1 X+1 1 0 X+1 X+1 X 0 X+1 X+1 X+1 0 X 0 1 X+1 0 0 X 1 X X+1 0 X X 1 X+1 X 0 0 0 0 0 0 1 0 0 1 X 1 X+1 X+1 X+1 0 1 X+1 0 X 0 X+1 1 X X 0 1 X+1 X X X+1 0 1 1 X 0 X+1 1 X 1 1 X+1 0 X 0 X+1 X+1 0 X+1 1 X X+1 0 1 0 X 0 X+1 X+1 X+1 0 X X+1 0 X+1 0 X 1 1 X+1 1 X+1 0 X+1 X 0 X+1 X+1 1 1 1 1 X 0 X X 1 X X X 1 1 0 X 0 0 0 0 0 0 0 0 0 1 0 1 X+1 X X 1 0 1 X+1 X X 0 1 X 1 1 X+1 X+1 X X+1 X X+1 0 X+1 X X+1 1 X+1 1 X+1 1 X 0 X+1 X 0 0 1 X+1 X X 1 X 0 X 1 X+1 0 0 0 1 X+1 X X+1 X X+1 X+1 X+1 1 0 X X X+1 X X 1 X+1 X+1 0 X+1 X 0 X+1 X 1 X X+1 1 0 1 X X X X+1 1 0 X 1 0 0 0 0 0 0 0 0 1 X 1 X+1 0 X+1 X 1 1 1 X X+1 X X 0 X X+1 X+1 1 X+1 1 0 0 X+1 X X X+1 X 1 X+1 0 X 0 1 0 X+1 X+1 0 X+1 X+1 0 0 0 X+1 X+1 1 X+1 X X 0 X+1 X X+1 X X+1 X+1 X+1 1 0 X+1 X X+1 1 0 X+1 X+1 X 0 1 X+1 X 1 X+1 X 1 1 X+1 0 1 X X+1 X+1 1 1 0 X+1 0 X 0 generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+94x^78+134x^79+289x^80+452x^81+710x^82+784x^83+1050x^84+1216x^85+1492x^86+1724x^87+1999x^88+2152x^89+2512x^90+2818x^91+3065x^92+3346x^93+3323x^94+3718x^95+3562x^96+3624x^97+3432x^98+3372x^99+3079x^100+3038x^101+2688x^102+2368x^103+2075x^104+1674x^105+1405x^106+1058x^107+923x^108+678x^109+569x^110+336x^111+264x^112+176x^113+131x^114+64x^115+59x^116+26x^117+26x^118+8x^119+18x^120+2x^121+1x^122+1x^146 The gray image is a linear code over GF(2) with n=192, k=16 and d=78. This code was found by Heurico 1.11 in 375 seconds.