The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 0 1 1 2a 1 1 1 1 2a+2 1 1 1 1 2a+2 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a 1 1 2 1 1 2a+2 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+1 a+2 2a+3 1 a+1 a 1 0 a 3a+3 2a+3 2a+1 1 2a+2 2a+1 1 3a 0 a+3 2a+1 1 3a+2 2a+1 2a+1 a+3 1 a+3 2a a+3 a+3 2 1 a+1 3 1 2a+2 2a 2a+1 3a+2 3a+3 a a+1 3 1 3a+2 2a 2a a+3 0 1 2 2 1 0 2a+3 1 0 3a 2a+1 a+3 2a+3 a+3 a+1 3a+2 a 2a+3 0 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a 2a+2 2a+2 0 2a+2 2a+2 2a 2a+2 2a 0 2a 2 2 2a+2 2a 2a+2 0 2a+2 2a 0 2a 2a 2 2a 2 2a+2 2a+2 2a 2a 0 0 0 2 2 2 2 2 2a 2a 0 2a 0 2a 0 0 0 2 2a 0 0 2a 2a 2a 2 2 2 2a+2 0 2a+2 2 2a 2a 2 2 2 0 0 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2 2 2a+2 2a+2 0 2a 2a 0 2a+2 2 2 2a 2 2 0 2 2a+2 2 0 2 2 2 2a+2 0 2a+2 0 0 2a 2a 2 0 2a+2 0 0 2a+2 2a 2a 2a+2 2a 2 2a 2a 2 2a+2 0 2a 2a+2 2a 2 0 2 2a 0 2a+2 2 2 2a 2a 2a 2a 2a+2 0 0 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2a 2 2a+2 2a+2 0 2a+2 2a+2 2 0 2a+2 0 2a+2 2a+2 2a 2 2 2a 2 2a+2 2 0 2a 2a 0 2a+2 2a 0 2 0 2a 2a+2 2 2a 2 0 2a+2 0 0 2a 0 2 0 2a 2a 2a 2a+2 2 2a 2 2a 2 0 2 2a 0 2a+2 2a 2a+2 0 2a 2 2a+2 2 2a 0 2 2 generates a code of length 83 over GR(16,4) who´s minimum homogenous weight is 232. Homogenous weight enumerator: w(x)=1x^0+117x^232+468x^235+339x^236+1368x^239+600x^240+1824x^243+642x^244+2316x^247+645x^248+2424x^251+513x^252+2400x^255+615x^256+1104x^259+312x^260+348x^263+153x^264+36x^267+60x^268+12x^272+33x^276+15x^280+12x^284+12x^288+9x^292+6x^296 The gray image is a code over GF(4) with n=332, k=7 and d=232. This code was found by Heurico 1.16 in 1.94 seconds.