The generator matrix 1 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2a 1 1 2a 1 1 2 1 1 1 1 1 1 2a 1 1 1 0 1 1 1 2a 1 1 2a 1 2a+2 2a 0 1 1 1 1 1 2a+2 1 1 1 1 1 2a+2 1 1 1 2a+2 1 1 1 2a 1 0 1 2 1 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 0 2 2 2a+3 2a+1 1 3a 3a+3 a+2 a+3 1 3a 3a+2 1 0 2a+2 2a+3 3a+1 1 3a+3 2a+1 1 a a+2 a+1 2a a 3a+1 1 a+2 a 3a+3 1 2a 3a+3 3a+1 1 a+2 2a+3 1 2 2a 1 1 2a+3 3a a+3 3a a+1 1 a+2 a+1 2a+3 2a 3a+1 2a a+2 a+2 2a+2 1 1 a 2 1 2a 1 3a+3 1 2a+1 2a+2 1 1 3a+1 2a+1 2a 3a+3 2a+3 a+2 1 2 0 0 1 0 1 3a+2 a+1 a 2a+2 3a+2 2a+3 3a+1 a 3a+2 a+1 3 a 0 2a+3 1 1 a+3 a a+2 a+2 3a+3 2 a+1 2a+1 2a+3 a+1 2a a+2 3a+1 2a+3 2 a+3 3a+1 2a+3 3a+1 3a+3 a+1 0 a+2 3a+1 1 2a+1 2a 3 2a+3 a 3a+3 3a+3 0 a+2 2a+1 3a+3 3 a+3 1 1 a a+3 3 2a+2 2a+2 3a+2 2a+2 3a+2 2a+3 2a 3 3a+3 1 1 0 a+2 2a 2a+3 3a+2 2 a+2 3a+3 2a 0 0 0 1 3a+3 a 1 2 a+2 a+2 0 2 3a+1 2a+3 3a+2 1 2a 2a 2a 1 2a+3 3a+2 a+3 2 3a+3 a 3a+3 3a+1 a+3 a+2 0 3a+1 2a+3 2a+3 3a+2 3 a+1 a+2 a 3a+1 3 3a+2 3 0 0 2a+1 2a a+2 3a+2 3a+3 3a+1 2a 3 3a+1 3a 0 2 2a+1 1 a+1 3a a+3 a+3 a+3 a+1 2a+3 1 3 3a+1 3a+1 a+2 3 3a+3 2 a 0 2 2a a+3 3a+2 a+2 a+1 3a+2 3a 0 0 0 0 2 0 2a 0 0 0 2 2a 2 2a 2a+2 2 2a+2 2a 2a 2a+2 0 2 2 2 2a 2 2 2a+2 2a 2 2a 0 0 2a 2a 0 0 0 2 2 2a+2 2 2a+2 2 2a+2 2a 2a 2a+2 0 2a 0 2a+2 2a+2 0 2 0 2 0 0 2 0 2a+2 2a 2a 2 2 2 2a 2a+2 2a+2 0 2a+2 0 2a+2 2 2a 2a+2 2 0 2a+2 2a 2a 2 2a generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 231. Homogenous weight enumerator: w(x)=1x^0+516x^231+723x^232+828x^233+1080x^234+2400x^235+2433x^236+2664x^237+2808x^238+5640x^239+4620x^240+4848x^241+4344x^242+8400x^243+7347x^244+7896x^245+6744x^246+12168x^247+10539x^248+10368x^249+8268x^250+16116x^251+12408x^252+12036x^253+9684x^254+16728x^255+12048x^256+10836x^257+8484x^258+13392x^259+8598x^260+7536x^261+5376x^262+7236x^263+4605x^264+3564x^265+1884x^266+2772x^267+1797x^268+780x^269+444x^270+624x^271+333x^272+84x^273+36x^274+24x^275+48x^276+21x^280+3x^284+3x^288+3x^292+3x^300+3x^304 The gray image is a code over GF(4) with n=336, k=9 and d=231. This code was found by Heurico 1.16 in 324 seconds.