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 1 1 1 1 1 1 2a 2a+2 1 1 2 0 2a 1 2a 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2a+2 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 a+1 a+2 3a+2 a+2 3a 3a 1 2a+2 a+3 2a+1 2a 1 1 a+2 1 0 a+1 a 3a+3 a+1 3a+2 2a+2 1 1 2a+3 3 3a+2 a 3a+3 3a 2a 1 2a+1 a 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 2a+1 3 3a+3 a+2 2 3a+3 a 1 a a+1 1 a+2 2a+3 a a+3 3 2 3 2a+2 a a+2 a+3 2a+1 a a a+1 2a+2 1 2a a+1 a 3 a+3 1 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 3a 2a+1 2a 3 2a 3a+2 3a+1 3 3a+2 2 3a a+2 3a+2 2a+2 a a+2 3 3a a+1 1 3a+1 a+1 2a+2 2a+3 0 a+1 1 2a+3 2a+3 3a+1 3 a+1 2a+1 a+1 generates a code of length 75 over GR(16,4) who´s minimum homogenous weight is 209. Homogenous weight enumerator: w(x)=1x^0+480x^209+660x^210+516x^211+426x^212+1896x^213+2232x^214+1584x^215+1044x^216+3300x^217+3072x^218+2016x^219+1164x^220+4368x^221+3636x^222+2028x^223+1077x^224+4488x^225+4164x^226+2160x^227+1572x^228+4380x^229+3612x^230+1908x^231+1074x^232+3408x^233+2592x^234+1452x^235+612x^236+1716x^237+1236x^238+576x^239+174x^240+468x^241+264x^242+48x^243+18x^244+72x^245+36x^246+6x^248 The gray image is a code over GF(4) with n=300, k=8 and d=209. This code was found by Heurico 1.16 in 21.6 seconds.