The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 X 1 (a+1)X (a+1)X 1 0 X 1 1 1 1 1 1 1 1 1 1 (a+1)X aX 1 1 1 1 1 1 1 1 aX (a+1)X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 aX 1 1 aX 0 1 X 1 1 X 0 1 (a+1)X 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 0 1 0 0 (a+1)X X (a+1)X aX aX aX 1 X+1 1 a 1 1 a+1 1 1 (a+1)X+a a (a+1)X+a 1 X+1 (a+1)X+1 X+a+1 X+a X+a aX+a+1 1 0 0 (a+1)X+1 aX+a+1 aX+a X+1 X+a+1 (a+1)X+a+1 0 1 1 a aX+a (a+1)X+a+1 aX+a+1 aX+a+1 a 1 1 X+1 (a+1)X aX+a 0 a+1 X aX+a aX 1 a 1 (a+1)X aX+a+1 aX (a+1)X 1 (a+1)X+a (a+1)X+a 1 (a+1)X 1 1 a+1 (a+1)X+a (a+1)X 1 X 1 aX+a+1 (a+1)X+a+1 (a+1)X+a+1 (a+1)X (a+1)X+1 (a+1)X+1 a a+1 (a+1)X+1 aX+1 (a+1)X+1 aX+a a (a+1)X+1 0 0 1 0 0 (a+1)X X 1 (a+1)X+a a+1 aX aX 0 (a+1)X (a+1)X+1 X+1 aX+a+1 X+1 a (a+1)X+a+1 aX+1 X+a X+1 (a+1)X+a+1 (a+1)X 0 1 aX aX+a aX+a 1 a+1 aX+a+1 (a+1)X+a+1 a X+a+1 (a+1)X+1 a (a+1)X+a a X 1 X+a+1 X+1 (a+1)X+a X+1 a X+a aX+a+1 a X+a (a+1)X+a+1 aX+1 X (a+1)X+a+1 X+1 (a+1)X+a+1 X+a+1 X aX+a aX+a 1 (a+1)X+1 aX+1 aX+a+1 aX+a+1 (a+1)X+a a+1 1 1 X+a+1 aX+a aX 1 1 X+a+1 X+1 X+a+1 X+a (a+1)X X aX aX+1 (a+1)X+1 1 (a+1)X a (a+1)X+a (a+1)X+1 a+1 (a+1)X 0 0 0 1 1 a (a+1)X+a+1 a+1 aX+a+1 X+a+1 (a+1)X+a+1 (a+1)X+1 aX+a (a+1)X aX a+1 X+a+1 1 aX+a+1 (a+1)X+a+1 a+1 aX+a+1 X+a aX+a+1 X+a (a+1)X+1 0 aX+a (a+1)X 1 aX+a X aX 1 0 aX+1 (a+1)X a+1 aX+a (a+1)X+a (a+1)X+a+1 1 (a+1)X+1 (a+1)X+a+1 a (a+1)X+a X+a aX+1 X+1 a X X a (a+1)X+a X+1 aX+a a X+a X+a+1 X 1 X+1 X+1 (a+1)X (a+1)X+a+1 aX+a X+1 (a+1)X a+1 (a+1)X 1 (a+1)X+a aX+1 X (a+1)X+a+1 aX+a a X X+1 X 1 a (a+1)X+a+1 (a+1)X+1 X (a+1)X (a+1)X+1 aX (a+1)X aX+a aX+a generates a code of length 91 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 256. Homogenous weight enumerator: w(x)=1x^0+504x^256+432x^257+540x^258+720x^259+2115x^260+1200x^261+1668x^262+1368x^263+3429x^264+1848x^265+2160x^266+1476x^267+4317x^268+2436x^269+2052x^270+1956x^271+4542x^272+2148x^273+2292x^274+1548x^275+4437x^276+2436x^277+2124x^278+1668x^279+3681x^280+1656x^281+1452x^282+1296x^283+2382x^284+1080x^285+1152x^286+624x^287+1275x^288+480x^289+324x^290+96x^291+378x^292+96x^293+60x^294+72x^296+12x^297+3x^300 The gray image is a linear code over GF(4) with n=364, k=8 and d=256. This code was found by Heurico 1.16 in 29.1 seconds.