The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 0 X 1 a^2*X a*X 1 X 1 1 a^2*X a*X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 1 0 X 1 1 1 1 0 a*X 1 1 X 1 1 1 1 1 1 1 a^2*X X 1 0 1 0 0 0 X X a^2*X+1 a*X+1 1 a^2*X+a a*X+a a*X+a^2 a^2 a^2*X+1 1 1 a*X 1 1 a*X+a 1 X a^2 1 a^2*X X+1 a^2*X+a^2 a^2 a*X+a a^2*X+1 X+a^2 a^2*X+a a^2*X+a^2 X+a X+1 a*X+1 0 X+a^2 X+1 1 a^2*X+a a*X a^2*X+a 1 1 a a^2*X+1 1 a^2*X X 1 a*X+a a*X+a^2 1 a^2 1 1 a^2 a*X+a^2 1 a^2*X a^2*X+1 0 a a^2*X+1 a^2*X+a^2 X 1 1 a*X+1 0 0 1 0 1 a^2*X+a a^2*X+a^2 a a^2*X a a*X+1 a a^2*X+a a^2 0 X+a 0 a*X a^2*X+1 X+a^2 a^2 a^2 a^2*X+a a^2*X+1 X+1 1 a*X+1 a X+1 a^2*X+a^2 X+a^2 a^2*X+a^2 a^2*X a^2*X+a^2 a*X+a a^2 a*X a*X+1 X+a a*X+1 X a^2*X a^2*X+1 a^2*X+a X a*X+a^2 0 a a*X+1 a^2*X+a 0 a^2*X a^2 X+a^2 X+a X 1 a*X+a a^2*X a*X a*X a^2*X+a^2 1 a^2*X+a^2 a*X+1 1 a^2*X+a a 0 a^2*X+a a^2*X+1 0 0 0 1 a^2 a 1 a*X X+a a X a*X+a^2 a^2*X+1 0 a*X a^2*X a^2*X+a^2 a^2*X+a^2 a^2*X+a^2 0 a^2*X+1 a*X+a X+1 a^2*X+1 a^2*X+a 1 1 a^2 a*X+a^2 a*X+a^2 a*X+a X+a^2 a^2*X+a^2 a a^2*X+a a^2*X+1 1 X X a*X+a^2 a 1 a*X+1 a^2*X a^2*X+1 a*X+1 a^2*X+a a^2*X+a a*X+a X+a 1 a^2*X+1 a^2*X 1 a^2*X+a^2 0 a a^2 a*X+a a*X+a X+a a^2*X a^2 X+1 a*X+1 a^2*X+a^2 X+a^2 a*X+a^2 X+1 X+1 X+a 0 0 0 0 X 0 a*X 0 0 0 X X a*X a*X X X a*X a*X a^2*X a^2*X X X X X a*X X a*X a*X 0 a*X 0 0 X 0 a*X 0 X a*X X X a^2*X 0 0 a*X a*X a*X 0 a*X X X a*X a^2*X 0 a*X 0 0 X a^2*X a*X a^2*X a*X 0 0 a^2*X a*X a*X a^2*X 0 X a*X a*X generates a code of length 71 over F4[X]/(X^2) who´s minimum homogenous weight is 193. Homogenous weight enumerator: w(x)=1x^0+492x^193+660x^194+828x^195+777x^196+2784x^197+2952x^198+2028x^199+2211x^200+6576x^201+5604x^202+4368x^203+4008x^204+10692x^205+9216x^206+6780x^207+6189x^208+16416x^209+13140x^210+9240x^211+8370x^212+20112x^213+14820x^214+10596x^215+9429x^216+20244x^217+14280x^218+9132x^219+6345x^220+13620x^221+9192x^222+4308x^223+2799x^224+5916x^225+3120x^226+1668x^227+663x^228+1368x^229+684x^230+192x^231+87x^232+84x^233+60x^234+12x^235+30x^236+12x^240+9x^244+15x^248+3x^252+9x^256+3x^260 The gray image is a linear code over GF(4) with n=284, k=9 and d=193. This code was found by Heurico 1.16 in 304 seconds.