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 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 2a 2a 2a 1 1 1 1 1 1 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 2a 2a 2a+1 a 2a 1 3a a+3 a+1 3a+1 3a+1 3a+1 2a 0 2 1 1 1 1 1 2a+1 1 2a+3 2a+2 2a+2 2a+2 3 3 3 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+2 0 2a 2a+2 2 0 2a 2a+2 0 2 2a 0 2a 2a+2 0 2 2a 0 2a+2 2a 2 2a 2a+2 2a+2 2a 0 0 2 2a generates a code of length 57 over GR(16,4) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+336x^168+288x^170+180x^172+96x^174+54x^176+60x^180+9x^192 The gray image is a code over GF(4) with n=228, k=5 and d=168. This code was found by Heurico 1.16 in 0.14 seconds.