The generator matrix 1 0 0 0 1 1 1 0 1 1 0 1 X 1 X X 1 X 0 1 1 1 1 1 0 X 0 1 1 1 0 0 1 1 0 X 1 1 1 0 1 1 X 1 1 0 1 1 1 1 1 0 0 0 1 1 1 X 0 X 1 1 X 1 X X 1 1 0 X 1 1 X 1 1 1 1 1 0 0 0 1 1 1 X 1 1 1 1 1 1 X 1 0 1 X 0 1 0 0 0 0 0 0 1 X+1 1 X+1 1 X+1 1 X 1 1 1 1 X+1 0 X X 1 1 X X 1 0 0 1 X X+1 0 0 1 1 X 1 X+1 X 1 1 1 X 1 0 X+1 X X+1 0 1 1 1 X X 1 0 1 1 X 0 X+1 1 1 1 X+1 1 X X+1 X 1 1 X 0 X X+1 1 1 1 X 1 X X X+1 1 0 X 1 1 1 X+1 1 0 1 0 0 1 0 0 1 1 1 1 X+1 X+1 X X 0 1 1 1 0 X+1 X+1 X X 1 X X+1 0 0 X+1 0 X+1 1 X X 0 1 1 0 X 1 0 1 X X+1 X+1 0 1 1 0 X+1 X+1 X 0 0 1 1 0 X+1 X 0 0 1 X+1 0 0 X+1 0 X+1 X X 1 X X+1 X+1 X+1 0 0 0 X X+1 1 X+1 X X 0 1 X+1 1 X+1 1 X 0 X X+1 X 1 X 0 0 0 1 1 1 0 1 X X+1 1 1 1 X 0 0 1 X 1 0 0 X 1 1 X 1 1 0 X+1 X 0 1 X+1 0 X+1 1 1 X+1 X+1 X 0 0 1 0 X 1 1 X 0 0 X 1 0 1 1 X+1 X+1 X+1 1 1 X X 1 X X 1 0 X+1 X 0 1 0 X+1 1 X+1 X X X+1 X+1 0 1 1 X+1 X+1 0 0 0 X+1 1 1 1 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 X X X X X X X X 0 X X 0 0 0 X X X 0 0 0 X X X 0 X 0 X 0 0 X 0 X X 0 X X X X 0 0 X X 0 X X X X 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 X X 0 X X X X 0 X X 0 X 0 0 X X X X X X 0 0 X 0 0 0 X X X X X X X X 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 X X 0 X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 X X X X 0 0 0 X 0 X X 0 0 X 0 X 0 X X X X X X 0 X X 0 X X X 0 X X 0 X 0 X X X 0 X 0 0 0 0 X X X X 0 X X 0 0 0 0 X 0 X 0 X X X 0 X 0 X X X 0 0 0 0 0 0 0 0 X 0 X 0 X 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 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 0 X X X X X 0 X X X 0 0 X X X 0 X X 0 X X 0 0 0 0 X X X X 0 0 X X X 0 X 0 0 0 X 0 0 X X X X 0 generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+80x^85+138x^86+166x^87+188x^88+188x^89+253x^90+224x^91+196x^92+218x^93+242x^94+210x^95+179x^96+222x^97+209x^98+196x^99+159x^100+140x^101+132x^102+110x^103+111x^104+104x^105+110x^106+84x^107+44x^108+58x^109+44x^110+26x^111+8x^112+14x^113+19x^114+8x^115+9x^116+4x^118+1x^120+1x^122 The gray image is a linear code over GF(2) with n=192, k=12 and d=85. This code was found by Heurico 1.16 in 84.3 seconds.