The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 1 1 2a 1 1 1 2a+2 1 1 2a+2 2a 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 2 1 1 1 1 2a 1 1 2a 1 1 1 2a 0 1 2a+2 1 1 1 1 2 1 1 1 0 2a 1 1 0 1 1 2a+2 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+2 1 3a+3 1 1 a+1 a 1 3a+1 1 3a+3 1 a+1 0 2a+2 1 2a+1 3 1 1 a a 2 a+2 2 2 3a+2 a+3 1 3a+2 2a+2 2a+1 3a+1 1 3a 3a+3 3a+2 1 2a+3 3a 2a+2 a 1 2a+3 2a+1 1 a+3 3 3 1 1 3a+2 1 2a+3 a a+1 3a 1 3a+1 3 1 1 1 2a+3 2a+3 1 2a+3 3a+1 1 2a 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3a+3 a+3 3 3a+3 0 3a a 3 a 3a 3a+2 a+3 3a+1 2 a+1 a+3 0 2 3 1 2a+2 a 3a 2a+3 a+2 3a+3 2 3 0 1 1 2 a+2 a+2 3a a+1 a+3 2a+1 2a+3 2a+1 a+2 2a+3 a+2 2a+3 3a a+1 a 2a+1 2a 2a 3a+3 3a 3a+3 2a+2 3a+1 a+1 3 2a 3a a+1 2a a a+1 1 3a+1 1 0 3a+3 a+3 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a+2 2a+2 2a 2a 2 2a+2 2 2a 0 2a+2 0 2 2 2a+2 2 0 2a 0 2a+2 2a 2a+2 2a+2 2a 2a 2 2a+2 2a+2 0 2a+2 0 2a+2 2a 2a+2 2 0 2 2 2a 2a 0 2 2a+2 2a+2 0 2 2a+2 2a 2a+2 0 0 2a 2 2a+2 2a+2 0 0 2a 2 2 2a+2 0 2a 2 2a+2 2a 2 2a+2 2 2a+2 2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2 2a 2a 2 2a+2 2 2a 0 2 0 2a+2 0 0 2a 2a+2 2a 0 2a+2 0 2a 2a+2 0 2a+2 2a 2a+2 0 2a 2a 2a 2a 2a+2 2a 0 0 2 2 2a+2 2 0 2a+2 2 2a 0 2a+2 0 2 2 2a+2 2 2 2a 0 2a 0 0 2 2 2 2a+2 2a 2a+2 2a+2 2 2a+2 0 2a+2 2 2 2 2a generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 231. Homogenous weight enumerator: w(x)=1x^0+432x^231+123x^232+252x^233+396x^234+2052x^235+297x^236+912x^237+1212x^238+4080x^239+570x^240+1620x^241+1848x^242+5280x^243+693x^244+2016x^245+2040x^246+6168x^247+699x^248+2568x^249+2292x^250+6744x^251+507x^252+2172x^253+2244x^254+5928x^255+519x^256+1668x^257+1392x^258+4080x^259+441x^260+840x^261+624x^262+1608x^263+96x^264+228x^265+216x^266+468x^267+51x^268+12x^269+24x^270+24x^271+27x^272+15x^276+24x^280+9x^284+15x^288+3x^292+6x^296 The gray image is a code over GF(4) with n=332, k=8 and d=231. This code was found by Heurico 1.16 in 25.4 seconds.