The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 2a 1 1 1 1 1 2a+2 1 1 1 2 1 1 1 1 1 2 1 1 2 1 1 1 1 0 1 1 1 2 1 1 1 1 1 2a 1 1 2a 1 1 1 1 1 2 1 1 1 2a+2 1 1 1 1 1 2 1 1 1 1 1 1 1 0 1 0 0 2a+2 0 2a+2 1 3a+2 2a+3 3 3 a+3 1 3a a+1 2a+1 2 2a+1 1 3a+1 a+3 3a+1 1 a+1 a 2 2a+3 3 1 2a+2 2a+1 1 0 2a+3 a+3 2 1 a 2 2a+2 1 3a+2 a+2 2a+3 a 2a+1 1 2a+3 a+2 1 3a 2a a+1 2a 2a+1 0 a+2 3a+3 a 2 3a+3 2a+3 3a 3a+3 2 1 3a+1 0 1 2a+2 3a+2 0 3a+1 0 0 1 0 2 2a+2 0 2a 2a 2a+2 2a+2 2a 2 3a+2 2a+3 3a 2a+1 a+1 a+3 1 3a+2 2a+3 2a+1 3 3a+3 a+2 a 3a+2 a+2 3a+3 3a+1 a+2 a+1 3a 2a+1 3a+3 2a+3 2 a+1 3 3a 3a+2 3a+3 a+2 3a+1 3 a+1 3 a+2 a a 3a+3 3 3a+1 a+3 2a+1 1 0 3a 1 1 2a 2 2a+1 2a+1 2 3a+1 a 3a+1 2 2a+2 0 a+1 3a+3 0 0 0 1 2a+3 3a+2 3a+3 3a+1 a+1 3a 2a+2 3 a 2a+3 2a a+3 2a+3 3a+1 3 2a+1 1 2 a+3 a+1 a+2 3a+2 0 3a+1 1 2a+3 a+2 3a 3a+1 3 2a 0 2a+3 a+1 1 a+3 3a a+2 2a 3 2a+2 a+1 a+3 a 2 2a+2 3a+3 a 2a 1 2a+2 3a+2 2a+3 2 a+2 a+2 0 2 a+2 3a+3 1 2a 2a+2 3 1 3 a+1 3 a 3a generates a code of length 74 over GR(16,4) who´s minimum homogenous weight is 206. Homogenous weight enumerator: w(x)=1x^0+324x^206+732x^207+513x^208+828x^209+2040x^210+1776x^211+1293x^212+1404x^213+3084x^214+2556x^215+1932x^216+2124x^217+4044x^218+3036x^219+2118x^220+2304x^221+4140x^222+3660x^223+2208x^224+2472x^225+3900x^226+3132x^227+1983x^228+1836x^229+3312x^230+2220x^231+1230x^232+972x^233+1728x^234+1068x^235+375x^236+312x^237+420x^238+240x^239+108x^240+36x^241+48x^242+12x^243+12x^244+3x^252 The gray image is a code over GF(4) with n=296, k=8 and d=206. This code was found by Heurico 1.16 in 23.1 seconds.