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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 4 2 4 2 2 4 1 1 4 2 2 1 1 0 2 4 1 2 4 1 1 8 0 2 1 4 4 1 8 1 2 2 4 1 0 12 0 0 0 0 0 0 0 0 0 8 8 4 4 4 4 4 12 4 0 12 4 12 0 8 12 4 4 4 12 0 12 0 8 12 12 4 8 0 8 0 8 0 8 12 12 4 8 8 8 12 0 12 0 12 12 0 4 12 4 4 4 12 8 0 8 0 0 8 4 12 0 0 8 12 12 0 8 12 12 0 12 12 4 8 0 12 8 4 0 0 12 0 0 0 0 0 0 0 4 4 4 0 12 4 12 8 8 4 4 0 8 4 4 4 12 8 4 12 0 4 12 8 0 4 8 4 4 12 8 8 4 4 12 12 12 4 0 4 4 4 0 4 12 0 4 4 4 4 8 4 4 0 12 0 0 8 4 8 12 12 4 12 0 0 8 4 8 0 4 8 0 0 12 8 4 0 8 0 0 0 0 12 0 0 0 4 12 12 4 4 0 8 0 0 12 12 12 12 12 8 8 0 8 8 12 4 0 4 12 12 4 8 12 12 12 4 4 4 0 4 0 4 4 12 0 8 12 12 0 8 4 8 12 0 4 12 0 8 12 4 4 12 4 8 4 0 4 0 12 8 8 8 4 4 4 0 4 4 4 0 0 8 12 0 0 8 8 0 0 0 0 0 12 0 4 4 4 0 8 0 8 8 12 4 4 0 4 8 4 4 4 8 4 4 12 4 8 0 8 12 4 12 12 4 4 0 0 12 0 12 8 0 12 0 12 12 8 8 4 8 4 12 8 0 4 4 8 0 0 12 0 0 12 12 8 4 4 4 8 8 0 8 12 0 0 0 12 4 12 0 12 4 12 8 12 12 12 12 0 0 0 0 0 12 4 8 4 4 0 4 4 4 12 8 8 8 4 4 12 12 0 12 4 8 12 0 0 8 12 0 4 4 4 0 0 8 8 4 4 0 4 12 0 4 0 12 4 12 12 12 8 8 12 8 4 0 8 12 0 8 12 4 12 4 4 4 12 8 4 12 12 0 4 0 8 12 8 4 4 4 4 12 0 12 0 4 12 8 0 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 0 8 0 8 8 0 0 8 0 0 8 0 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 0 8 8 8 8 8 0 0 8 0 8 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 generates a code of length 90 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+188x^78+8x^79+549x^80+48x^81+786x^82+220x^83+1226x^84+764x^85+2052x^86+1856x^87+3449x^88+3324x^89+4168x^90+3112x^91+3459x^92+1924x^93+2053x^94+760x^95+1092x^96+196x^97+578x^98+60x^99+454x^100+16x^101+238x^102+107x^104+44x^106+28x^108+5x^110+2x^112+1x^124 The gray image is a code over GF(2) with n=720, k=15 and d=312. This code was found by Heurico 1.16 in 45.4 seconds.