The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 2 1 1 1 1 2 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2a+2 2 0 2a+2 2 2a 2a+2 2a+2 2a+2 1 1 1 1 1 1 1 1 1 2 1 0 1 1 a a+1 0 2a+3 a a+1 1 0 a 2a+3 a+1 1 2 2a+3 a+2 a+3 1 2 1 a+2 a+3 1 2 2a+1 1 0 3a+2 a+3 2a+3 a+2 2 2a 3 a+2 2a+1 3a+2 2a+1 a 2 1 3a+2 2a 2a+1 1 1 a 2a+1 a+2 3a+2 2a+3 3a 3a+2 a+1 a+3 a+1 a+3 3a+1 3a+3 2 0 0 2a 2a 1 1 1 1 1 1 1 1 1 1 a+1 3a+1 3a+1 3a+1 3a+1 3a+3 a+3 a+3 3a+3 2 a+1 0 0 2a+2 0 2 0 2 2a 2a 2a 2a 2 2a+2 2a+2 0 2a+2 0 2a+2 0 2 2 2a 2a 2 2a+2 2a 2 2a 2a+2 2 0 2 2 2a+2 0 2a+2 2a 2a+2 0 2a 2a 2a 0 2a+2 2 2 2a 0 0 2a 2a+2 2a+2 0 2 0 2a 2a+2 2 2a+2 0 2a 2 0 2 2a 2a+2 2 2 2a+2 2a 0 2a 2 2a+2 2a+2 0 2a+2 0 2a 2a+2 2a 2a+2 2 0 0 0 2a 0 0 0 2 2a 2a 0 2a 2 2 0 2 2a 2 2 0 0 2 2 2 0 0 2 2 2 2a 2a 0 2a 2a 2a 2 2a+2 2a+2 2a+2 2 2a+2 2a+2 2a+2 2 0 2a+2 2 2a+2 2a+2 2a+2 2a+2 2a+2 2a 2a 0 2a 2a 0 0 2a 2a 2a+2 2a+2 2a+2 2a+2 2a 2 2 2 2 2a 2a+2 2a+2 2a 2a 2a+2 0 0 2a 2a+2 2a+2 2 2a+2 0 0 2 0 0 2a 0 2a generates a code of length 87 over GR(16,4) who´s minimum homogenous weight is 254. Homogenous weight enumerator: w(x)=1x^0+816x^254+615x^256+1152x^258+336x^262+216x^264+336x^270+120x^272+384x^274+48x^278+72x^280 The gray image is a code over GF(4) with n=348, k=6 and d=254. This code was found by Heurico 1.16 in 72.8 seconds.