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 2 1 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 4 1 1 4 1 2 1 1 4 1 1 1 2 1 1 8 1 1 1 1 4 1 8 1 1 4 1 1 2 2 4 2 1 0 12 0 0 0 0 0 0 0 4 12 12 4 4 8 12 12 0 8 12 4 12 0 12 8 4 0 12 4 12 8 0 8 0 8 12 8 4 8 12 4 12 0 4 8 8 0 0 0 12 0 4 12 4 0 0 12 12 0 8 12 8 0 4 8 12 0 8 12 8 4 4 4 0 8 0 12 4 4 12 4 4 0 8 8 12 8 4 12 0 0 12 0 0 0 4 12 12 4 4 0 8 4 0 12 8 8 4 8 4 8 4 0 4 0 12 4 4 12 0 8 0 12 0 12 12 4 12 12 0 8 12 8 0 8 12 4 0 12 8 4 0 4 8 0 0 4 12 0 8 12 0 0 4 4 8 4 0 8 4 12 0 8 8 4 12 12 4 0 4 12 4 8 12 12 8 12 0 0 0 0 12 0 4 4 4 0 8 0 8 12 4 0 4 12 8 12 8 12 12 0 0 8 12 12 0 0 12 4 12 12 12 0 4 12 0 8 4 8 0 12 8 8 12 0 12 8 8 8 8 4 0 8 12 0 8 4 4 4 8 4 12 4 4 8 12 8 0 4 0 4 0 0 8 12 0 12 4 12 8 0 12 8 12 4 4 0 0 0 0 0 12 4 8 4 4 0 4 4 0 4 8 8 4 12 12 8 4 4 0 12 4 8 0 8 4 8 8 4 12 12 4 4 0 12 0 12 4 0 4 4 8 12 0 8 12 8 4 12 0 8 0 8 0 0 0 8 4 12 12 4 12 0 0 0 8 0 8 8 8 8 8 12 0 12 12 4 4 8 4 0 0 4 12 12 4 0 0 0 0 0 8 8 0 8 8 8 0 8 0 8 0 0 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 8 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 8 8 0 8 0 0 0 0 0 0 8 8 8 0 8 generates a code of length 89 over Z16 who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+119x^80+308x^82+40x^83+363x^84+264x^85+678x^86+696x^87+1190x^88+1048x^89+1202x^90+760x^91+597x^92+216x^93+232x^94+40x^95+168x^96+8x^97+102x^98+60x^100+62x^102+25x^104+8x^106+4x^108+1x^144 The gray image is a code over GF(2) with n=712, k=13 and d=320. This code was found by Heurico 1.16 in 3.2 seconds.