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 2 1 1 1 1 1 1 1 1 2 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 2 1 1 0 2 1 2 2 1 1 1 1 1 1 1 2 2 2 1 1 8 2 2 1 2 1 8 1 1 1 0 12 0 4 0 0 4 12 0 8 4 4 0 12 12 8 8 0 4 4 0 0 12 4 8 8 12 4 8 8 4 12 4 8 8 0 12 8 12 12 0 12 0 4 8 8 8 4 4 4 4 4 0 8 0 8 0 8 4 12 0 4 12 4 12 4 4 12 4 4 4 4 4 4 4 4 0 12 4 4 0 12 8 4 4 8 12 8 0 0 12 4 0 12 4 0 8 4 0 4 0 4 8 4 4 0 4 8 12 0 8 12 0 4 0 4 0 12 8 4 12 4 12 12 8 8 4 12 4 8 12 0 12 0 4 4 12 0 8 12 0 8 4 4 12 8 4 12 0 8 0 4 0 0 0 8 12 4 8 4 12 12 12 0 0 4 12 12 12 8 4 8 4 0 8 12 0 0 0 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 8 0 0 0 0 8 8 0 0 8 8 8 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 8 8 0 8 0 0 0 8 0 8 8 0 0 0 8 8 8 0 8 0 0 8 8 8 8 0 0 8 0 8 8 0 8 0 8 0 8 8 0 8 8 8 8 0 8 8 8 8 8 8 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 0 8 0 0 8 8 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 8 8 0 8 0 8 8 0 0 8 8 0 8 8 0 8 0 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 0 0 8 8 8 0 0 0 0 0 8 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 8 0 0 8 0 0 0 0 0 8 0 8 8 0 8 0 8 0 8 0 8 0 0 8 8 8 0 0 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 0 8 0 0 0 8 8 8 8 8 8 8 8 0 0 8 0 0 8 0 8 0 8 0 8 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 8 0 8 0 8 8 8 0 8 0 8 0 0 0 0 0 0 0 8 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+39x^78+90x^79+88x^80+178x^81+104x^82+256x^83+120x^84+554x^85+383x^86+1548x^87+1671x^88+1480x^89+383x^90+540x^91+78x^92+244x^93+61x^94+78x^95+49x^96+66x^97+30x^98+36x^99+32x^100+34x^101+21x^102+12x^103+7x^104+4x^105+3x^106+1x^108+1x^140 The gray image is a code over GF(2) with n=704, k=13 and d=312. This code was found by Heurico 1.16 in 3.23 seconds.