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 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+2 0 2 2a 2a+2 2a 2a 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 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 2a 2a+2 2 2 2a+2 2a 2a 2a+2 2a 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 2a 2a 0 2a 0 2 0 2a generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 244. Homogenous weight enumerator: w(x)=1x^0+42x^244+78x^248+816x^252+42x^256+18x^260+12x^264+12x^268+3x^336 The gray image is a code over GF(4) with n=336, k=5 and d=244. This code was found by Heurico 1.16 in 0.11 seconds.