The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 2 0 0 0 0 0 0 0 0 0 2a 2a+2 2 2a 2 2 2a 2a 2a 2a+2 2a 2a 2a 2a 2 2a 0 2 2a+2 0 2a 2 2a+2 0 2a 2a 2a+2 2 0 2a 2 2 2a 2 2 2 2a+2 2 2a+2 2a 2a+2 2 2a 2a+2 2 0 0 0 2a 2a 2a 2a+2 0 2a+2 2a+2 2 0 2a+2 0 2a+2 0 0 0 2 0 0 0 0 2 2 2 2a 0 2a 2a+2 2a+2 0 2a 0 2 2 2 2a+2 2 0 0 2 2a+2 2a+2 0 2a 2a 2a 2 2a+2 2a+2 0 2 0 2 2a 2a+2 2 2a 2 2a+2 2 2 2a+2 0 0 2a+2 2a+2 2 0 2a+2 2 2a 2a 2a 0 2a+2 2a 2a+2 2 2 0 2a 2a+2 2a+2 2 2 0 0 0 0 2 0 0 2 2a+2 2a 2a 2a 2a 0 2 2 2a+2 2 2a+2 2 2a 0 2a 0 0 2a 2a 0 2a 0 2a 0 0 2 2a 2a+2 2 2 2 2 0 2a 2a+2 0 2a 0 2a 2a 0 2a 2a 2 2a+2 0 2a 0 2 2a 2 2a 2 0 2a+2 2a 2a+2 0 2 2a 2 0 2a+2 2a 0 0 0 0 0 2 0 2a+2 0 2 2a 2a+2 2a 2a+2 2a+2 0 2 2 0 0 0 2a+2 2 2 2a+2 2a 2a 0 2a+2 2a+2 2a+2 2 0 2 2a+2 2a+2 2a+2 2a 2 2a 2a 2a+2 2a 2a+2 2 0 0 2a 2a 2 2a 0 2a 2a 2a+2 2a+2 2 2 2a 2a+2 2a 2a 2 2a+2 2a 2 2a 2a 0 2 2a+2 2 0 0 0 0 0 0 2 2 2 2a+2 2 2 0 2a+2 2a+2 2 2 2a 2a+2 0 2a 2a 2a 2a+2 2a+2 2 2a 2a+2 0 0 2 2a+2 0 2 2 2 2 2a 2 0 2a 2a 0 2 2a+2 2 2a+2 2a+2 0 2 2 0 2 2 2a+2 2 2a+2 0 2a+2 2a+2 2a 0 0 2a 0 2 2a+2 2a+2 2a+2 0 2a 2 2a generates a code of length 72 over GR(16,4) who´s minimum homogenous weight is 192. Homogenous weight enumerator: w(x)=1x^0+96x^192+276x^196+417x^200+348x^204+495x^208+768x^210+327x^212+4608x^214+390x^216+6912x^218+423x^220+309x^224+258x^228+267x^232+171x^236+126x^240+84x^244+60x^248+30x^252+9x^256+3x^260+3x^264+3x^280 The gray image is a code over GF(4) with n=288, k=7 and d=192. This code was found by Heurico 1.16 in 3.31 seconds.