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 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 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 0 2 2a+2 0 2 2a+2 0 2 2a+2 0 2 2a+2 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 2a 0 0 0 2 2 0 2 2 0 2a 2 2a 2a 2 2a 0 2 0 2a 2a+2 2 2a+2 2a+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 2a+2 2 0 2a+2 2 0 2a 2a 0 2a+2 2 2a 0 0 0 2 2 2 0 2 2a 2a+2 2a+2 2a+2 2a+2 0 0 2 2a+2 2a 2 2a+2 2a 2a 0 0 2 2a+2 2a+2 2a+2 2a 2a 2a 2 0 0 2a+2 0 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+2 2a+2 2 2 2a 2a+2 0 0 0 2a 2 0 2 2a 2a+2 2a 2 2a+2 0 2a 2a+2 2a 2 0 0 2 2a+2 0 2 2a 2 0 0 2 2a 2 0 2a 2a+2 2 2a+2 2a 0 2a+2 0 2a 2a generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 256. Homogenous weight enumerator: w(x)=1x^0+147x^256+192x^258+576x^262+60x^264+36x^272+9x^280+3x^344 The gray image is a code over GF(4) with n=348, k=5 and d=256. This code was found by Heurico 1.16 in 0.875 seconds.