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 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 0 2 0 0 0 0 2 2 2 2a 0 2 2a+2 2 2a+2 2a+2 2a+2 2a 2 2a+2 0 2a+2 0 0 2 2a+2 2a 2 0 0 2a 2 2a 2 2 2a+2 0 2a 2a 2a 0 0 2a 2a 2a 2 2a+2 2a 0 2 0 2a+2 2a+2 2a+2 2 0 2 2a 2a+2 2a 2a 2a+2 2 2 0 2a 2a 2 2a+2 2 2 2a 2a+2 0 0 0 2a+2 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 0 0 2a 2 0 0 2a+2 0 2a 2a 2a 2a 2 2 2a+2 2 2 0 2a+2 2a 2 2 2 0 0 2a 2a+2 2 2a 0 2 2a 0 2a 2a 2 2a 2a 2a+2 2 2a+2 2a+2 2a 2a+2 2a+2 0 0 2a+2 2a+2 2a 2a+2 0 2a+2 2a+2 2a 2a+2 2a+2 2a 2a+2 2a+2 2a 2a 2a 2a+2 2a+2 2a 2a+2 2a+2 2 0 0 0 2 0 2a+2 0 2 2a 2a+2 2 2 2 2 0 2a 0 2a 0 2a+2 2a+2 2 2a 0 2a+2 2a 2a+2 2a 2a+2 2 2a+2 2a+2 2a 2 2a 2a 2a+2 2a 2a+2 2 2a 2 2 2 2a+2 0 2a+2 2 2 2a+2 0 2 0 0 2a+2 0 2a 2a+2 2 2a 0 0 2a+2 0 2a 2 2a 0 2a+2 2 2 2 0 0 2 0 0 2a 0 0 0 0 0 2 2 2 2a+2 2 2 2 2a 0 2a 2 2a+2 2a+2 2a 2a 0 2a 2a+2 2a 2a 2a+2 0 2a+2 2a 2a 0 2 2a+2 0 2a+2 2a+2 2a+2 0 2 2a+2 2 2 2a+2 2a+2 0 2a 0 2 2a 0 2a 2a 2a 2 0 2 2a+2 0 2a+2 2 2a+2 2 0 0 2a+2 2a 0 2a 0 0 0 2a+2 2 0 2 2a 2a+2 2a 0 2 generates a code of length 79 over GR(16,4) who´s minimum homogenous weight is 224. Homogenous weight enumerator: w(x)=1x^0+213x^224+270x^228+555x^232+1296x^236+1449x^240+120x^244+57x^248+51x^256+30x^260+9x^264+24x^272+12x^276+3x^280+3x^288+3x^304 The gray image is a code over GF(4) with n=316, k=6 and d=224. This code was found by Heurico 1.16 in 28.4 seconds.