The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 0 X 1 X 1 1 1 0 X X 1 0 1 0 1 1 X X 1 1 0 X 1 0 X X 1 0 1 1 X 1 0 X 1 0 1 1 1 1 1 0 1 1 1 1 1 1 X X 1 0 1 X X 0 0 1 1 X X 1 1 1 0 X 1 0 0 1 1 1 0 1 1 X 1 0 X X X 1 X 1 0 1 0 0 0 0 X X X 0 X X X 0 0 X 0 1 X+1 1 1 1 X+1 1 1 1 X+1 X+1 1 1 X+1 X+1 1 0 X 1 X 0 0 X X+1 0 0 X+1 1 1 0 1 X 1 X+1 1 X 1 X+1 0 0 0 X+1 0 1 1 1 1 1 1 1 X 1 1 1 0 1 X 0 0 1 1 0 1 1 X+1 X+1 X 1 X+1 X X X 0 0 1 X 1 X X 0 0 1 0 0 0 0 0 0 X 0 0 0 X X 0 0 0 0 X X X X X 0 0 0 0 0 X 0 X X 1 X+1 1 1 1 X+1 1 1 X+1 1 1 X+1 X+1 1 1 X+1 X+1 X+1 X X+1 X+1 X+1 1 1 X 1 X+1 0 X+1 1 1 1 0 X+1 1 X+1 X+1 0 1 X 1 X+1 0 X 1 1 1 X+1 X X+1 1 X+1 X+1 1 X 1 X 0 X 1 X 0 X+1 0 0 0 1 0 0 0 0 X 0 X+1 1 1 1 1 1 X+1 X+1 0 X+1 X+1 X 0 X 1 1 X X X 1 1 X+1 1 0 1 0 0 X 0 1 0 X+1 X+1 1 X+1 X+1 X 0 X+1 0 1 X X+1 X 1 0 X+1 X+1 X 0 1 0 X X+1 X+1 X 0 X 0 1 1 X X+1 0 X+1 1 X+1 X+1 X X X 0 X X+1 0 0 0 0 X 1 X 1 X 0 1 1 0 0 0 0 1 0 0 X+1 X+1 1 1 X 1 X+1 0 0 X+1 X X 1 X X+1 X+1 X+1 0 X 0 1 X 1 X+1 X+1 X X X X X+1 X+1 1 0 1 1 X+1 1 X+1 0 X+1 X+1 X X+1 X 0 X+1 X+1 0 0 X+1 0 X+1 0 X+1 0 X+1 1 1 0 X 1 X+1 0 1 1 X+1 1 0 X 0 0 X X X X+1 X X X X+1 0 1 X+1 0 1 1 X+1 X 1 0 0 0 0 0 0 1 1 X+1 X X+1 0 1 X+1 0 X 1 1 X X X X+1 X X+1 1 X+1 0 X+1 X X+1 1 X+1 0 X+1 X+1 X+1 X 0 X+1 1 X X+1 0 1 1 X X 0 X+1 X 0 X 1 1 0 1 X+1 X X X+1 X X X+1 X 0 X X X X X+1 X 0 1 1 0 0 1 0 X X+1 0 1 0 X+1 X+1 1 X X 0 X 1 X+1 X 1 1 X+1 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+60x^85+121x^86+174x^87+213x^88+230x^89+229x^90+222x^91+223x^92+188x^93+224x^94+202x^95+218x^96+230x^97+189x^98+176x^99+139x^100+162x^101+132x^102+140x^103+124x^104+76x^105+74x^106+82x^107+66x^108+58x^109+47x^110+20x^111+32x^112+16x^113+8x^114+6x^115+8x^116+4x^117+2x^123 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 3.76 seconds.