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 0 1 1 1 1 1 1 X 1 1 1 1 1 1 X 0 a^2*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 1 0 1 a*X 1 0 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*X+a 1 a^2*X+1 a*X+1 X+a X a^2*X+a^2 a 1 a*X+1 X+a^2 0 a*X+1 a^2 a^2*X+1 1 1 1 a*X+a^2 X a^2 X+a a*X+1 a*X+a^2 X+a X+1 a*X+a^2 0 X+1 a*X+1 a X+a X+a 1 a a^2*X+1 1 a^2*X+1 a*X+a^2 a*X+a X+a^2 X+1 a*X+a^2 a^2*X+a^2 1 a*X 1 1 1 X 0 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 a*X a*X X 0 X X a^2*X X X a^2*X a^2*X a*X a*X a^2*X X a^2*X 0 a^2*X a*X 0 a*X X a*X X X 0 0 a^2*X X 0 a*X a^2*X 0 X 0 a^2*X a^2*X a*X a^2*X a^2*X 0 X X a*X X a*X a^2*X 0 0 0 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 0 a*X a^2*X a*X X a^2*X X 0 a*X X a^2*X X a^2*X X X 0 a^2*X 0 X 0 a*X a*X X 0 X a^2*X X 0 a^2*X a*X X a^2*X X a*X a*X a^2*X a*X a*X X a*X 0 a*X a^2*X X a*X 0 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*X X a^2*X X X 0 a*X a*X a*X 0 a^2*X a*X a*X X X a*X a*X a*X 0 X a^2*X a^2*X X a*X a*X a*X a^2*X a^2*X a^2*X a^2*X a*X a^2*X a^2*X X a*X a*X a*X 0 a^2*X 0 0 a^2*X X a*X 0 0 generates a code of length 75 over F4[X]/(X^2) who´s minimum homogenous weight is 208. Homogenous weight enumerator: w(x)=1x^0+54x^208+84x^209+192x^211+294x^212+480x^213+696x^215+582x^216+624x^217+984x^219+663x^220+1116x^221+1128x^223+732x^224+1248x^225+1248x^227+660x^228+1416x^229+1080x^231+594x^232+816x^233+648x^235+324x^236+348x^237+168x^239+69x^240+12x^241+36x^244+21x^248+15x^252+12x^256+12x^260+15x^264+6x^268+6x^276 The gray image is a linear code over GF(4) with n=300, k=7 and d=208. This code was found by Heurico 1.16 in 1.71 seconds.