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 1 1 X 1 X 1 1 1 X 1 1 1 1 X 1 1 1 1 1 X 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^2*X a*X X a*X X a*X X X 0 a^2*X X a^2*X X a*X a^2*X 0 a*X a^2*X 0 a^2*X a^2*X X a*X a*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*X a*X X 0 a^2*X 0 0 a*X X X X a^2*X 0 a*X X X X X a^2*X X 0 0 a^2*X 0 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 X a^2*X a*X a*X a^2*X 0 X 0 a^2*X X a*X a^2*X 0 0 X a^2*X X X 0 a*X a^2*X 0 0 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 a^2*X X 0 X a*X X a^2*X a*X a*X 0 X a*X X X a^2*X 0 a*X X a*X 0 X a^2*X X 0 X 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 a*X a*X a*X a*X X 0 X a*X 0 0 a^2*X 0 a*X 0 a^2*X a^2*X 0 0 a^2*X X a^2*X X a^2*X 0 a^2*X generates a code of length 75 over F4[X]/(X^2) who´s minimum homogenous weight is 200. Homogenous weight enumerator: w(x)=1x^0+51x^200+288x^204+366x^208+48x^211+363x^212+432x^215+447x^216+1632x^219+399x^220+3552x^223+378x^224+4464x^227+363x^228+2160x^231+357x^232+228x^236+240x^240+195x^244+177x^248+132x^252+51x^256+36x^260+12x^264+9x^268+3x^276 The gray image is a linear code over GF(4) with n=300, k=7 and d=200. This code was found by Heurico 1.16 in 3.46 seconds.