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 1 1 1 1 1 1 1 1 1 1 0 2 0 0 2 0 2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a+2 0 0 2 2 0 0 2 2 2a+2 2a+2 0 2 2a 2a+2 0 2 2a 2a+2 0 2 2a 2a+2 0 2 2a+2 2a 2a 2a 0 2 2a+2 2a 2a 2a 0 2 2a+2 0 2a 2 2a 2a+2 0 2 0 0 2 0 2a+2 2 2a+2 0 2a+2 2a+2 2 2 2a+2 2 0 2 2a+2 0 0 2 2a+2 0 2a+2 2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a+2 2 0 0 2 2a+2 2a+2 2 0 0 2 2a+2 2a+2 2 0 2a 2a+2 2 0 2a 2a+2 2a+2 0 0 0 2 2 2 2a 2a+2 0 2 0 2 2a 2a 2a 2a+2 0 2a 2a+2 2a 2a+2 2 2a+2 2a+2 0 2a+2 0 2a+2 2 2 2a+2 2a 2a 2a 2 0 2a+2 0 2 2a 2a 2a 2a 2a+2 2a+2 0 2 2a+2 2 2 2a 2a+2 2 2a 2a+2 2 0 2a generates a code of length 58 over GR(16,4) who´s minimum homogenous weight is 168. Homogenous weight enumerator: w(x)=1x^0+48x^168+90x^172+768x^174+87x^176+21x^184+6x^188+3x^232 The gray image is a code over GF(4) with n=232, k=5 and d=168. This code was found by Heurico 1.16 in 0.031 seconds.