The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 1 1 0 X X 0 1 1 0 X 1 0 X 1 0 X 1 X X 1 1 1 1 1 1 0 X 0 X 1 1 X 1 1 0 X 1 1 X X 0 1 0 1 1 0 X X X 1 0 X 1 X 1 X 1 1 X 0 1 1 1 0 0 1 1 1 X 1 1 1 X 1 1 1 0 X 1 0 0 X 0 X 1 0 1 0 0 0 0 0 0 0 0 0 1 1 X+1 1 1 1 1 1 1 1 0 1 X X+1 X 0 1 0 X X 1 1 X X+1 X 0 0 X+1 0 X 1 1 X+1 1 0 1 0 X 1 X+1 1 1 1 1 X 0 X+1 1 1 1 1 1 X 1 1 X+1 0 X+1 0 X 0 X 1 X X+1 0 1 1 1 0 0 1 1 X 1 1 X+1 0 0 0 0 X X X X 0 1 1 0 0 1 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 1 1 X+1 X+1 1 X+1 X+1 X+1 1 1 X+1 X+1 1 1 1 1 X+1 X+1 X+1 X+1 1 1 1 1 1 1 1 1 X 1 X+1 1 X+1 X X 1 X+1 1 X 1 1 X 1 X 0 X+1 1 X 1 0 0 X 0 0 0 1 0 0 0 0 0 0 0 X 0 X 0 X 0 X 1 X+1 X+1 1 X+1 1 1 1 X 1 1 1 X 1 X+1 X+1 X+1 X+1 1 1 X X 1 X 1 X X+1 X X+1 1 1 1 0 0 0 X 1 0 1 1 0 X X+1 0 X X+1 X X+1 X+1 0 1 0 X 1 1 X+1 X+1 1 X 1 X X X+1 1 1 1 1 0 1 X+1 X+1 0 X 1 X X+1 0 X+1 1 X 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 X X+1 X 1 0 1 X X+1 X X+1 1 X X X X 1 X+1 1 0 0 1 X X+1 X X 1 0 0 X X+1 1 1 X 1 1 X+1 1 1 X X+1 0 1 X X X+1 0 X+1 0 0 X X+1 1 0 X X+1 0 0 1 X 0 X X 0 X X X 0 X+1 X 1 1 X 1 0 0 0 1 X 0 X+1 1 1 X 1 1 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 0 X+1 X+1 X 1 0 0 X X 0 1 1 1 X 0 1 1 1 1 1 X 0 X+1 1 X+1 0 1 1 X 0 1 X+1 X+1 X+1 X+1 0 X+1 X X+1 X 0 0 X X 0 0 1 X+1 X 1 1 X+1 0 1 0 0 1 X+1 X+1 1 X X X X+1 0 X+1 X X X+1 1 0 X 1 1 X X+1 0 X X+1 X+1 1 X+1 X 0 1 0 0 0 0 0 0 1 1 X+1 X 1 0 X 0 1 1 1 1 0 X 0 X X+1 1 0 1 0 X X X 0 1 0 0 X+1 1 X+1 X 0 0 X+1 X+1 X+1 0 0 1 1 1 0 X 1 X X+1 1 X+1 X+1 X 0 X 0 1 X+1 0 0 X X+1 0 X X+1 X+1 X+1 X+1 X+1 1 X+1 X+1 0 X 1 0 0 X X 0 0 0 0 1 0 1 X+1 X+1 X 0 0 X 1 X X+1 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 X X X X 0 X X X 0 X 0 0 0 X 0 X X 0 X 0 0 0 0 X X X 0 X 0 X X 0 X 0 0 X 0 X X X X X X X X X 0 0 X X X X 0 X 0 0 X X 0 X X X 0 generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 83. Homogenous weight enumerator: w(x)=1x^0+92x^83+190x^84+332x^85+421x^86+622x^87+766x^88+792x^89+924x^90+1040x^91+1231x^92+1316x^93+1375x^94+1508x^95+1578x^96+1650x^97+1770x^98+1736x^99+1648x^100+1592x^101+1566x^102+1498x^103+1503x^104+1374x^105+1166x^106+1048x^107+935x^108+812x^109+643x^110+504x^111+383x^112+278x^113+162x^114+132x^115+76x^116+44x^117+35x^118+12x^119+8x^120+2x^121+2x^122+1x^168 The gray image is a linear code over GF(2) with n=198, k=15 and d=83. This code was found by Heurico 1.11 in 96.7 seconds.