The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 0 2 1 1 2a 1 1 2a 1 1 1 1 1 1 2a 2a 0 2 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 2a+2 1 1 1 0 1 1 a a+1 0 2a+3 a+1 a 1 a+3 2 2a+3 a+2 1 2 1 a+2 a+3 1 0 2 2a+3 2a+1 2a+1 a+2 3a 3a a+1 a+3 1 1 2a 3a+1 1 2a 3a+1 1 2a+1 a 2a 1 3a 3a+1 1 1 1 1 0 2 2a 2a+3 1 2a+1 a a+2 3a a+1 a+3 3a+1 2a+2 2a+2 2a+2 2a+2 3 3 3 3 3a+2 3a+2 3a+2 3a+2 3a+3 1 3a+3 3a+3 0 0 0 2a+2 2a 2 2 0 2a+2 0 2a 2a 2a+2 2a 2 2 2a 2 2a+2 0 2a+2 2a 2 2 2a+2 0 2a 0 2 2a 2a+2 2a+2 0 2a+2 0 2 0 2 2a 2a 2a+2 2 0 2a 2a+2 2a+2 0 2 2a 2a+2 0 2a 2a+2 2a 2 2 0 2a+2 0 2 2a 2a+2 2a 2 0 0 2 2a 2a+2 2a+2 2a 2 0 2a+2 2a+2 2a 2 2a generates a code of length 77 over GR(16,4) who´s minimum homogenous weight is 228. Homogenous weight enumerator: w(x)=1x^0+141x^228+144x^230+384x^231+270x^232+48x^234+9x^236+15x^240+6x^244+3x^248+3x^256 The gray image is a code over GF(4) with n=308, k=5 and d=228. This code was found by Heurico 1.16 in 0.078 seconds.