The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2 4 1 4 2 1 1 8 1 1 0 1 4 2 1 1 1 2 1 2 2 1 1 4 2 8 2 2 1 2 1 2 0 2 1 4 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 0 8 4 12 8 4 0 4 12 0 8 0 12 4 12 4 0 8 0 4 4 8 4 12 12 4 8 12 12 4 8 8 12 8 4 4 4 8 4 8 0 4 12 8 8 12 0 8 4 4 8 4 12 0 12 4 4 4 8 4 0 0 0 4 12 8 12 12 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 4 0 4 8 4 0 8 0 12 12 8 0 12 12 12 0 8 12 12 4 12 12 4 0 4 0 0 4 12 12 0 0 0 12 0 4 4 4 0 12 12 4 8 0 12 4 4 12 12 8 0 0 4 4 8 12 8 8 12 0 4 4 12 8 12 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 0 0 8 8 0 0 8 8 8 0 0 0 0 8 8 8 8 8 8 0 8 0 0 0 8 0 0 0 0 0 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 0 8 0 8 8 0 0 0 8 8 0 0 8 8 8 0 0 0 8 0 8 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 0 0 8 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 8 0 0 8 8 8 0 8 0 0 8 0 0 0 0 8 8 0 8 8 8 0 8 8 8 0 8 0 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 0 0 0 8 8 8 8 0 0 0 8 8 0 8 8 8 8 0 8 0 0 0 0 0 8 8 8 0 0 8 0 0 8 0 0 8 8 0 8 0 8 0 8 0 0 8 0 8 0 8 8 0 8 0 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 0 8 0 0 8 0 8 8 0 8 0 0 8 0 0 8 0 0 0 0 0 0 0 0 8 8 0 8 8 8 8 8 8 8 0 0 0 8 8 0 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 8 8 8 0 8 8 8 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 0 8 8 8 8 8 8 0 0 0 8 0 8 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 0 8 0 8 8 8 0 8 8 8 8 8 8 8 0 0 0 8 0 0 8 0 0 0 8 8 0 8 8 8 0 8 8 8 8 8 8 0 0 0 8 0 8 0 0 0 8 8 0 0 8 8 8 0 0 0 8 0 0 8 0 0 0 8 8 8 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+182x^76+280x^78+56x^79+636x^80+68x^81+748x^82+352x^83+1195x^84+1612x^85+1346x^86+4800x^87+1863x^88+6712x^89+1660x^90+4752x^91+1551x^92+1704x^93+1046x^94+264x^95+753x^96+132x^97+436x^98+16x^99+318x^100+12x^101+110x^102+113x^104+4x^106+33x^108+2x^110+8x^112+1x^116+2x^120 The gray image is a code over GF(2) with n=712, k=15 and d=304. This code was found by Heurico 1.16 in 46 seconds.