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 2 2 2 2 2 2 2 1 2 4 2 1 1 2 2 2 4 4 1 1 1 2 4 4 2 2 1 1 1 4 1 1 4 1 1 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 0 8 0 0 0 8 8 8 0 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 8 0 8 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 0 0 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 8 8 8 0 0 0 8 0 8 0 0 8 0 0 8 0 0 8 8 0 8 8 8 8 0 0 0 0 8 8 0 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 0 8 8 0 8 8 8 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 8 8 0 8 8 0 8 8 8 8 8 8 8 0 8 0 0 0 0 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 8 8 0 0 0 8 0 8 0 0 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 0 0 8 0 8 0 8 8 8 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 8 8 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 0 0 8 0 0 8 8 8 8 0 0 0 8 8 0 0 8 8 0 0 0 8 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 8 8 8 0 0 0 0 8 8 8 8 8 0 8 8 8 8 0 0 0 0 0 0 8 8 0 0 0 0 8 0 0 8 0 0 8 0 8 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 8 8 8 8 0 0 0 8 8 8 8 0 8 0 8 8 8 8 8 0 0 8 8 8 0 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 0 0 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 8 0 0 0 8 8 8 0 8 0 8 0 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 0 0 8 0 8 8 0 0 0 8 0 0 8 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 0 8 8 8 8 0 8 8 8 generates a code of length 84 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+72x^68+230x^72+40x^74+417x^76+166x^78+320x^79+556x^80+640x^81+302x^82+960x^83+8813x^84+1280x^85+316x^86+704x^87+510x^88+128x^89+164x^90+64x^91+322x^92+30x^94+205x^96+6x^98+91x^100+32x^104+12x^108+2x^112+1x^124 The gray image is a code over GF(2) with n=672, k=14 and d=272. This code was found by Heurico 1.16 in 13 seconds.