The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 0 1 1 aX 1 aX (a+1)X 1 X 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 0 1 1 1 1 1 1 aX 1 0 1 0 0 (a+1)X X (a+1)X aX aX aX 1 (a+1)X+a a+1 aX+a+1 1 (a+1)X+1 (a+1)X+a+1 1 X+a+1 X+a 1 aX+1 a 1 1 a+1 aX+a+1 aX+1 a+1 X+a (a+1)X+1 1 a aX+1 1 a X aX+a X+a+1 1 (a+1)X aX 1 X (a+1)X 1 a 1 X+a 1 X+a+1 (a+1)X (a+1)X+a 1 (a+1)X+a aX+a X+1 (a+1)X+1 aX+a+1 X+a+1 a+1 1 X+a+1 (a+1)X+a+1 (a+1)X+1 X+1 X aX aX+a 1 a (a+1)X+a a+1 (a+1)X+a (a+1)X+1 X+a+1 X 1 aX (a+1)X+a X+a X+1 aX X+a X (a+1)X+a 0 0 1 0 0 (a+1)X X 1 (a+1)X+a a+1 aX (a+1)X X aX+a+1 X+a X+a+1 1 a X+a aX+a aX+a+1 a a+1 X+a+1 aX+1 (a+1)X+a+1 X 0 (a+1)X aX+1 (a+1)X+a+1 (a+1)X+a aX+a X+1 0 1 a+1 (a+1)X X+1 aX+a+1 X+a aX+a a aX+1 1 (a+1)X+1 aX+a+1 aX+1 (a+1)X+a X+a+1 aX+a X+a+1 X+a X+a (a+1)X+a+1 aX aX aX a 1 X+a+1 X+1 a+1 aX+a X+1 (a+1)X+a 0 a a+1 (a+1)X+a+1 X+1 1 X+1 aX+a (a+1)X+a (a+1)X+a+1 X+a X X aX+1 (a+1)X+1 X+1 X+a a+1 1 a+1 0 0 0 1 1 a (a+1)X+a+1 (a+1)X+a+1 a+1 X+a+1 aX+a+1 aX+a+1 aX+a+1 X aX+a aX a 1 (a+1)X a+1 0 X+a 1 aX+a (a+1)X+1 a+1 aX+a (a+1)X X+1 1 1 X+1 aX 0 X+a+1 0 X+a X+a aX+1 aX+a+1 aX+a 0 X aX X+a X+1 (a+1)X+a+1 a+1 (a+1)X+a a (a+1)X+1 aX+1 X+1 (a+1)X+a (a+1)X (a+1)X (a+1)X+a (a+1)X+a+1 aX+a+1 a+1 a (a+1)X+a aX+1 X+a a+1 (a+1)X+a+1 X X+1 X+a aX+1 aX+a aX+a+1 (a+1)X aX (a+1)X+1 aX+a+1 a+1 1 a 0 aX+a+1 X+a+1 aX+1 X+1 X+a+1 aX generates a code of length 86 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 242. Homogenous weight enumerator: w(x)=1x^0+1020x^242+1032x^243+222x^244+3252x^246+2604x^247+489x^248+5208x^250+3456x^251+684x^252+6096x^254+4176x^255+609x^256+6132x^258+4008x^259+720x^260+6096x^262+4392x^263+744x^264+4620x^266+2868x^267+312x^268+2964x^270+1464x^271+282x^272+1284x^274+528x^275+30x^276+168x^278+36x^279+3x^280+24x^282+12x^283 The gray image is a linear code over GF(4) with n=344, k=8 and d=242. This code was found by Heurico 1.16 in 751 seconds.