The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 aX 1 1 1 1 1 1 aX 1 X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 aX 1 X (a+1)X 1 1 (a+1)X 1 1 1 1 aX 1 0 1 1 1 1 1 1 0 1 1 0 aX 1 1 1 1 1 1 (a+1)X 1 1 1 1 X X 0 1 0 0 (a+1)X 0 (a+1)X 1 (a+1)X+a a+1 X 0 X X X+a X+1 X+a+1 1 a a+1 a X+a+1 aX+a a+1 1 (a+1)X 1 X+a aX+1 X+a+1 a+1 X+1 aX+a+1 (a+1)X+a (a+1)X (a+1)X+a+1 X+a 1 1 X+a+1 aX+a+1 1 aX 0 1 X (a+1)X+1 1 aX+a aX+1 aX+a a 1 X+1 1 0 1 X (a+1)X+a (a+1)X+a+1 X+1 1 (a+1)X+1 aX+a+1 1 X a 1 aX+a 0 X+1 (a+1)X+a 1 X+1 X+a X+1 aX 1 1 0 0 1 0 X aX 0 (a+1)X (a+1)X (a+1)X (a+1)X+1 (a+1)X+1 1 a X+1 a+1 a aX+a+1 (a+1)X+a 1 aX+a X+1 a+1 aX+a+1 a aX+1 (a+1)X+1 X aX+a X+a+1 (a+1)X+a 0 (a+1)X+1 X+a aX+a+1 X a+1 aX+a+1 1 X (a+1)X+a+1 X+1 X+a 1 X+1 a+1 aX 0 (a+1)X a (a+1)X+a (a+1)X+1 X+a (a+1)X+1 aX (a+1)X+a+1 X+1 1 0 a a a (a+1)X (a+1)X+1 aX+a 1 aX+1 1 X+a+1 X+a+1 X+a+1 X (a+1)X+a+1 aX+a+1 aX+a+1 aX+a+1 1 X aX+1 0 0 0 1 (a+1)X+1 a a+1 (a+1)X+a+1 X+a+1 aX+a+1 a+1 X+a (a+1)X+1 1 X (a+1)X+a+1 X+a+1 a X+a+1 a+1 (a+1)X X+1 aX (a+1)X+a+1 X aX (a+1)X+a a aX+1 X 0 X+a a X+a X+1 aX+1 (a+1)X+a aX+1 (a+1)X+1 (a+1)X (a+1)X+a a+1 aX+a (a+1)X+a 1 a (a+1)X a+1 X+1 X (a+1)X+1 X+1 (a+1)X+1 X 1 X+a+1 a aX+1 aX (a+1)X+a aX+a+1 aX+a+1 aX+1 X X+a aX+a+1 aX+a+1 aX+a+1 1 (a+1)X+1 X+a X+1 aX 1 a+1 (a+1)X+1 aX+a+1 (a+1)X+1 (a+1)X+a generates a code of length 79 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 221. Homogenous weight enumerator: w(x)=1x^0+612x^221+996x^222+504x^223+72x^224+2304x^225+2700x^226+1020x^227+84x^228+3792x^229+4188x^230+1428x^231+195x^232+4452x^233+4776x^234+1596x^235+273x^236+4992x^237+4932x^238+1800x^239+123x^240+5220x^241+4620x^242+1440x^243+120x^244+3648x^245+3228x^246+948x^247+105x^248+1740x^249+1656x^250+348x^251+48x^252+780x^253+480x^254+120x^255+108x^257+72x^258+12x^259+3x^268 The gray image is a linear code over GF(4) with n=316, k=8 and d=221. This code was found by Heurico 1.16 in 45.2 seconds.