The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 X 1 1 a*X 1 1 1 1 1 1 0 1 a*X 1 1 1 1 a^2*X 1 1 1 1 a^2*X 1 1 1 X 1 1 1 1 1 1 1 0 1 1 1 1 X X 1 1 a*X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a a^2 0 a^2*X+1 a^2*X+a^2 a 1 0 a^2*X+1 a 1 a^2*X+a^2 X a^2*X+a^2 X+a a^2*X+1 1 a^2*X+a^2 a 1 0 a a^2 a^2*X+1 a*X+1 a^2*X 1 a*X+1 1 a*X+a 0 a*X+a^2 a*X+1 1 a^2*X+a a*X+1 a*X+1 a*X+a^2 1 a*X+a^2 X+a^2 a*X+a^2 1 X+a^2 a*X a^2*X+a a^2*X 0 a*X+a^2 a^2*X 1 a*X+a^2 a*X+a a^2*X a^2*X+a 1 1 a^2*X+1 1 1 X+a^2 a*X+a^2 1 a^2*X+1 a*X+1 1 X+1 a^2*X+a a a^2 1 0 0 a^2*X 0 0 0 X X X X X X a^2*X a^2*X a*X X a*X a^2*X a^2*X 0 a^2*X a^2*X a*X a^2*X a*X 0 a*X X a^2*X X a*X a^2*X 0 a^2*X a*X 0 a*X a*X X a*X a^2*X a^2*X X X a^2*X 0 a*X a*X a^2*X a*X a*X X a*X 0 a^2*X a*X a^2*X X X X X a*X X X X 0 a^2*X a^2*X a*X X X a^2*X a*X a^2*X 0 0 0 X 0 X a^2*X 0 X a^2*X X 0 a*X a^2*X 0 a^2*X 0 0 a*X a*X X X a^2*X a^2*X 0 a*X a*X 0 X a^2*X X a*X X X 0 X a^2*X X 0 X a^2*X X X a*X a*X a*X a^2*X a*X a*X a*X 0 0 a^2*X a*X a^2*X a*X a^2*X a^2*X a*X 0 X a*X 0 X X a*X a*X 0 a*X X a^2*X a^2*X a^2*X X 0 0 0 0 a^2*X a^2*X X a^2*X a*X 0 a^2*X X X a*X X a*X a*X X a^2*X a^2*X 0 a^2*X a^2*X X 0 a^2*X 0 a^2*X a*X a^2*X X X a*X X a^2*X X 0 a*X a*X 0 0 a*X a^2*X X 0 0 0 a^2*X 0 0 X X X a*X a*X a*X a^2*X X X a*X 0 a*X X a*X 0 X X a^2*X a^2*X X 0 a^2*X a^2*X a*X generates a code of length 74 over F4[X]/(X^2) who´s minimum homogenous weight is 207. Homogenous weight enumerator: w(x)=1x^0+96x^207+360x^208+168x^210+528x^211+810x^212+432x^214+972x^215+1314x^216+504x^218+1068x^219+1140x^220+672x^222+1320x^223+1272x^224+792x^226+1080x^227+1212x^228+432x^230+876x^231+735x^232+72x^234+204x^235+171x^236+69x^240+3x^244+24x^248+9x^252+27x^256+15x^260+3x^264+3x^272 The gray image is a linear code over GF(4) with n=296, k=7 and d=207. This code was found by Heurico 1.16 in 31.9 seconds.