The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 2a+2 1 1 1 1 0 1 1 1 1 1 0 1 2a+2 1 1 2a 1 1 1 0 1 2 1 1 2a+2 1 1 1 1 2 2 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 2 1 1 1 1 1 2a 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+3 1 1 3a+2 1 a+1 a 1 3a+1 3 a+3 a+1 2a+2 2a+2 2a+3 1 a 2a 1 3a+2 2a+2 2a+3 1 3a+2 1 1 2a+2 1 a+3 a 2a 2a+2 2a+2 1 2a+1 3 3a 1 a+1 3a+2 2a+2 1 1 3a+1 3a+3 3a+3 0 0 3a+2 2 1 3a 2a+1 a+2 1 3a+3 a+2 1 a+1 2a+3 3a+3 3a 3 1 2a+2 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3 3a+3 3a+1 3a+3 0 3a a+2 3 3a+2 a 2 a 1 2a+3 2a+2 3a+2 2a+3 3 2a+3 0 2 3a+2 3 a+1 3a+3 a+1 0 a+1 2a a 2a+2 1 2a+3 a+2 2a+2 3a 3a+3 1 3a+3 3a+1 3a+1 a+2 a+3 a+3 2a+1 3 2a+1 3a+3 0 a+1 2a+1 2 a+1 3a+3 3a 2a 2a a+1 a+2 a+1 2a+3 a+1 3 3 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a 2a 2a+2 2a+2 2 2a+2 2 2a 0 2a+2 0 2 2a 2a+2 0 0 2a 2a 0 2a+2 0 2a 2 2a 2a 0 2a+2 2a 2a 2 2a+2 2a+2 2 2a 2a+2 2a 2a 0 0 2a+2 2a 2a 2a+2 0 2a+2 2a 2a 2 0 2a+2 2a+2 2a+2 0 2a+2 2 2a+2 2a 2 2 2a 0 2a 2 2a+2 2a 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2a 2 2a 2 2a+2 2 2a 0 2 0 2a+2 2a 2a+2 2 2a+2 2 2a 0 2a 0 2a 2a+2 0 0 2 0 2 0 2 0 2a+2 2a 0 2a+2 2a 0 2a+2 2 2a+2 2a 0 2 2a+2 2a+2 2a 2 2a+2 0 2a 2 0 2 2a 0 2 2 2a+2 2 2a 2a+2 0 2 2a 2a 2 generates a code of length 78 over GR(16,4) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+261x^216+144x^217+156x^218+540x^219+1755x^220+840x^221+540x^222+1092x^223+3855x^224+1428x^225+804x^226+1776x^227+4989x^228+1848x^229+1032x^230+2088x^231+6150x^232+2124x^233+1008x^234+2100x^235+6729x^236+2592x^237+1164x^238+2304x^239+5862x^240+1980x^241+756x^242+1656x^243+3444x^244+1032x^245+528x^246+552x^247+1461x^248+276x^249+156x^250+168x^251+180x^252+24x^253+12x^255+51x^256+33x^260+24x^264+6x^268+9x^272+6x^280 The gray image is a code over GF(4) with n=312, k=8 and d=216. This code was found by Heurico 1.16 in 23.7 seconds.