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 2 2 1 1 1 1 2 1 1 2 1 1 2 1 1 2 0 2 0 0 0 0 0 0 0 0 0 2a 2a+2 2 2a 2a+2 2a 2a+2 2 2a+2 2a 2a 2 2 2a+2 2 2a 2a+2 0 0 2a 2a 0 2a 2a 2a+2 2a+2 2 2a 2a 2a 2 2 2a 2 0 2a 2a+2 2a 0 2a 0 0 2a+2 2a 2a+2 2a+2 2 2a 2a+2 2a 2a 0 2 0 2a+2 2a+2 2 2a 2a+2 0 2 2 2 0 2a 0 2 0 2 0 2a+2 0 2a+2 0 2 2a+2 0 0 0 0 2 0 0 0 0 2 2 2 2a 0 2a+2 2a+2 2a 2a 2a+2 0 2a 2 0 2 2a+2 0 2 2a+2 2 0 2a 2 2a+2 2 2a 2 2a 2a 2 2 2a 2a 2a+2 0 0 2 0 0 2a+2 2a+2 2 0 2a+2 2a+2 2 0 2 2 2a+2 2a 0 0 2 2 2a+2 2a 2 0 0 2a 2a 2a+2 2a 2a+2 0 2a+2 2 2a 2a+2 0 2a 2a+2 2a+2 2a+2 0 2a+2 0 2 0 2 2 0 0 0 2 0 0 2 2a+2 2a 2a 2a 0 2a 2a 2a 2a+2 2a 2a 2a+2 2a+2 2 2a 2a+2 2a+2 2a+2 2a+2 2a 2 2a 0 0 2 2a 0 2a 2 0 0 2a 0 2 0 2 2 2 2a+2 0 2a 2a+2 0 2a 2a+2 0 2 0 2a 2a+2 0 0 2a 2a 0 2a+2 2 2a+2 0 2a 2a+2 0 2 2 2a+2 2a 2 2a 2 2a+2 2 0 2a 2 2 2 0 2a 0 2a 0 2 0 0 0 0 2 0 2a+2 0 2 2a 2a+2 2a+2 2 0 0 2 2a 2a 2 2 0 2a+2 2a 2 2a+2 0 2a 2a+2 2a+2 2 2a 2a+2 0 2a 0 2a+2 2 2a+2 2 2a+2 0 0 2 2a+2 2a+2 2a+2 0 0 2a+2 2a 0 2a+2 0 0 2 2a 2a+2 2a+2 2a+2 2a 0 0 2a 2a+2 2 2 2a+2 2 0 2a 2a 2 2a+2 0 2a 2 2a+2 2a 0 2a+2 2 2a+2 2a+2 2a 2a+2 2a+2 2 2a 2a 0 0 0 0 0 2 2 2 2a+2 2 2 2a 2 2 2 2a 0 0 2 2a+2 2 0 2a+2 0 2 2 2a 0 2a 0 2 2a+2 0 2a 2a 2 2 0 2a+2 2a 0 2a+2 2a 0 2a 2 2a+2 2 2a+2 2a 0 2 2a 2a+2 2a 2 2 0 2a+2 2a 0 2 2a+2 2 0 0 2a+2 0 0 0 2a 2a+2 2a+2 2 2 2a+2 2a+2 2 2 2 2 0 0 0 2a+2 2 2a 2a 2a generates a code of length 89 over GR(16,4) who´s minimum homogenous weight is 244. Homogenous weight enumerator: w(x)=1x^0+225x^244+327x^248+465x^252+48x^253+387x^256+432x^257+420x^260+1632x^261+390x^264+3552x^265+285x^268+4464x^269+315x^272+2160x^273+261x^276+231x^280+198x^284+183x^288+135x^292+105x^296+93x^300+30x^304+27x^308+15x^312+3x^332 The gray image is a code over GF(4) with n=356, k=7 and d=244. This code was found by Heurico 1.16 in 18.9 seconds.