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 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 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 0 2 2 2a+3 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+2 2a+2 3a+2 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 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 2a+1 0 2 0 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+672x^210+528x^211+456x^212+2028x^213+2124x^214+1572x^215+879x^216+3348x^217+3276x^218+1920x^219+1314x^220+3972x^221+3672x^222+2148x^223+1230x^224+4524x^225+3876x^226+2124x^227+1293x^228+4572x^229+3672x^230+2004x^231+1191x^232+3444x^233+2628x^234+1392x^235+627x^236+1668x^237+1368x^238+516x^239+165x^240+492x^241+204x^242+84x^243+3x^244+48x^245+12x^246+6x^248+3x^252 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 23.6 seconds.