The generator matrix 1 0 0 0 1 1 1 1 1 1 2 1 1 1 1 1 2 0 1 1 1 2a+2 1 2a+2 1 2a+2 1 1 1 1 1 1 1 0 1 1 1 2a+2 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 1 2 1 1 1 2a+2 1 1 1 2 2 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 1 1 0 1 0 0 0 0 2a+2 2a+2 2a+2 2 1 1 2a+1 2a+3 2a+1 3a+2 1 1 a+3 3a+2 1 1 0 1 2a+1 2 2a+3 a+2 3a a+2 1 3a 2a+1 1 a+1 3a+3 3a 1 3a+2 2a 2a+2 2a+3 3 2a+2 1 3a+2 a+2 2a+1 0 1 a+2 2a+3 1 2a+2 2a+1 3a+3 2a 0 a+2 a+3 1 2 a+3 a+2 0 2 0 3a+1 a+2 2a+2 2a+3 3 3a+3 3a+1 3a+1 2 2a+3 0 0 1 0 0 2 0 2a+3 a 1 2a+3 3 2a 2a+3 2 2 a 3a+2 2a 3a 3a 3 3 a+1 3 1 a+2 a+1 2a+3 2a 3a+3 2a+1 3a+3 3 0 3a+3 2a+1 2 0 3a+2 a 3 a+1 a+1 3a+1 a+3 0 2 2a+3 2a a 3a a+3 a+2 3a+1 3a 1 3a+1 a+3 3a a+1 1 1 a+1 1 a+3 2a+3 3 a 1 2a a+3 2 1 3a 3 2 0 0 0 1 1 3a+2 3a+3 3a+3 3a+1 a a+3 2a+2 a+3 2a+3 3a+2 3a+3 3a 3a+3 3 2a+3 2a 0 0 3 a+1 a+2 a 2 2a+2 2 1 3a+1 3a 2a+3 a a+3 2a+1 3a 3a+2 a+2 2a+1 3a+2 3a+1 3a+1 3a+1 a 2a+3 2a+3 1 0 2a+2 3a+1 a+2 2a+2 2a 3 2a+2 a 3a 2a+3 3a+1 a+3 3a+2 0 2a+1 3 3a a+1 a 2a+3 a+2 a+3 2a+3 1 3a 2a+3 2 0 0 0 0 2a+2 2a 2 0 2a 2a+2 0 0 0 2a+2 2a+2 2a 2a+2 2 2 2 2a 2a 2 2a+2 2a 0 2 2 2a 2a+2 0 0 2 2a 2a+2 2a 2a+2 2a 2 0 2a+2 2a 2a+2 2 0 0 2a 2 2a 2a 0 2 2a+2 2a+2 0 2 2a+2 2a 2a 0 2 2a+2 0 0 0 0 2 2 2a 2 2a 2 2a 0 2a 2 2 generates a code of length 77 over GR(16,4) who´s minimum homogenous weight is 211. Homogenous weight enumerator: w(x)=1x^0+1296x^211+780x^212+6312x^215+2445x^216+13176x^219+4836x^220+22752x^223+8829x^224+31824x^227+11418x^228+39444x^231+13137x^232+36564x^235+12258x^236+28032x^239+8019x^240+13320x^243+2901x^244+3468x^247+801x^248+396x^251+30x^252+24x^255+36x^256+18x^260+9x^264+12x^268+3x^272+3x^276 The gray image is a code over GF(4) with n=308, k=9 and d=211. This code was found by Heurico 1.16 in 319 seconds.