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 X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 a*X a^2*X X a*X X X a*X a*X a*X a^2*X a*X a*X a*X a*X X a*X 0 X a^2*X 0 a*X X a^2*X 0 a*X a*X a^2*X X 0 a*X X X a*X X X X a^2*X X a^2*X a*X a^2*X X a*X a^2*X X 0 0 0 a*X a*X a*X a^2*X 0 a^2*X a^2*X X 0 a^2*X 0 a^2*X 0 0 0 X 0 0 0 0 X X X a*X 0 a*X a^2*X a^2*X 0 a*X 0 X X X a^2*X X 0 0 X a^2*X a^2*X 0 a*X a*X a*X X a^2*X a^2*X 0 X 0 X a*X a^2*X X a*X X a^2*X X X a^2*X 0 0 a^2*X a^2*X X 0 a^2*X X a*X a*X a*X 0 a^2*X a*X a^2*X X X 0 a*X a^2*X a^2*X X X 0 0 0 0 X 0 0 X a^2*X a*X a*X a*X a*X 0 X X a^2*X X a^2*X X a*X 0 a*X 0 0 a*X a*X 0 a*X 0 a*X 0 0 X a*X a^2*X X X X X 0 a*X a^2*X 0 a*X 0 a*X a*X 0 a*X a*X X a^2*X 0 a*X 0 X a*X X a*X X 0 a^2*X a*X a^2*X 0 X a*X X 0 a^2*X a*X 0 0 0 0 0 X 0 a^2*X 0 X a*X a^2*X a*X a^2*X a^2*X 0 X X 0 0 0 a^2*X X X a^2*X a*X a*X 0 a^2*X a^2*X a^2*X X 0 X a^2*X a^2*X a^2*X a*X X a*X a*X a^2*X a*X a^2*X X 0 0 a*X a*X X a*X 0 a*X a*X a^2*X a^2*X X X a*X a^2*X a*X a*X X a^2*X a*X X a*X a*X 0 X a^2*X X 0 0 0 0 0 0 X X X a^2*X X X 0 a^2*X a^2*X X X a*X a^2*X 0 a*X a*X a*X a^2*X a^2*X X a*X a^2*X 0 0 X a^2*X 0 X X X X a*X X 0 a*X a*X 0 X a^2*X X a^2*X a^2*X 0 X X 0 X X a^2*X X a^2*X 0 a^2*X a^2*X a*X 0 0 a*X 0 X a^2*X a^2*X a^2*X 0 a*X X a*X generates a code of length 72 over F4[X]/(X^2) 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 linear code over GF(4) with n=288, k=7 and d=192. This code was found by Heurico 1.16 in 3.3 seconds.