The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2a+2 2a 1 1 1 1 2a 1 1 1 1 2a+2 1 0 1 1 1 1 1 1 1 2a+2 2 1 0 1 2 1 1 1 1 0 1 2a 1 2a+2 1 1 1 1 1 1 1 2 1 2 1 1 2a 1 1 2a+2 0 1 1 1 2 1 1 0 1 0 2a+2 2a 2 1 3a+2 3a+3 2a+3 2a+1 3 a a+3 1 3a a+2 3a+1 a+1 1 1 0 1 a 3a+3 1 2a 2 a+3 2a+3 1 a+2 1 3 2a+1 3a 2a+2 3a+1 a a+1 1 1 3a+2 1 3a 1 3a+2 2 a+2 0 1 2a 1 2a+2 1 3a+2 0 3a 2a+2 2 a 2a+2 1 3a+2 1 2a 1 2 2a+3 3a+2 2a+2 1 3a+1 a+1 2a+1 1 a 0 0 0 1 1 a 3a+3 3a+1 a+1 a+3 a+2 2a+1 2 2a+2 2a a+1 3 3a+2 3a 2a+3 2a+1 3a 2 3a+3 0 3a+1 3a+2 3a+2 a+3 2a+2 a a+3 a+2 3a+2 2a 1 2a+1 3 a a+2 2a+1 3 3a a+3 2a 3a+2 a+3 2a 2a+3 3a+1 a 3 3a+3 2a+1 3a+2 a+1 2a+3 a+1 2a+2 2a 1 a 3a 2a+2 2a+1 3a+1 2a+3 2a+2 1 2a+2 0 1 a+2 2a+3 a+1 a+3 2a+3 3a+1 3 generates a code of length 78 over GR(16,4) who´s minimum homogenous weight is 227. Homogenous weight enumerator: w(x)=1x^0+720x^227+327x^228+1032x^231+312x^232+540x^235+156x^236+300x^239+84x^240+216x^243+54x^244+144x^247+48x^248+60x^251+36x^252+60x^255+3x^256+3x^260 The gray image is a code over GF(4) with n=312, k=6 and d=227. This code was found by Heurico 1.16 in 2.26 seconds.