The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 (a+1)X 1 X 1 1 1 X aX 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 0 1 1 1 aX 1 0 1 1 1 1 1 1 X 1 1 0 1 (a+1)X 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X (a+1)X X 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 X 1 1 1 0 1 0 0 X aX 1 (a+1)X+a a+1 1 (a+1)X+a a+1 (a+1)X+1 (a+1)X+1 1 aX+a 1 aX+a+1 1 (a+1)X+a+1 X+a (a+1)X+a+1 1 1 X+a (a+1)X X+1 X X+1 0 1 1 (a+1)X+a 1 a a+1 X+a+1 1 X+1 X aX+a+1 1 (a+1)X+1 1 (a+1)X+a+1 X+a aX+a X+1 (a+1)X+a+1 a+1 1 aX 1 X (a+1)X+a 1 0 a a 1 aX+a+1 (a+1)X a X aX X+a X+1 aX+1 aX+1 (a+1)X+a+1 (a+1)X 1 1 aX X+a aX (a+1)X 1 (a+1)X X+a+1 aX+a+1 (a+1)X (a+1)X a (a+1)X+1 (a+1)X 0 X+a (a+1)X+a+1 (a+1)X+1 0 0 1 1 (a+1)X+a (a+1)X+a+1 X+1 aX+1 (a+1)X+1 a+1 aX+a+1 X+a+1 a 0 aX+a aX+a (a+1)X+a+1 (a+1)X+a (a+1)X+1 X X (a+1)X (a+1)X+a+1 aX+1 X+a+1 aX aX+a (a+1)X+1 aX (a+1)X+a+1 aX+a+1 0 (a+1)X+a aX+a+1 (a+1)X 1 a+1 (a+1)X 1 X aX (a+1)X+a 0 aX+1 aX+a+1 X+a X+1 aX+a a X+a aX+a+1 a X+a 1 X+1 aX a+1 (a+1)X 0 (a+1)X+a 1 a (a+1)X+a+1 X+a+1 1 X+1 aX+a+1 (a+1)X aX+1 X+1 1 (a+1)X+a+1 aX+1 (a+1)X+a a X a X+a+1 aX+1 1 X+a+1 (a+1)X+a 0 (a+1)X+a X+a X+1 1 a+1 X+1 X+a 0 0 0 (a+1)X 0 0 (a+1)X (a+1)X (a+1)X 0 0 0 X aX (a+1)X X aX (a+1)X aX 0 (a+1)X (a+1)X 0 0 aX (a+1)X aX aX 0 aX aX X aX X X aX X aX X X X aX (a+1)X X aX 0 aX 0 aX X (a+1)X (a+1)X (a+1)X X 0 (a+1)X X aX 0 0 0 aX X (a+1)X X X (a+1)X X aX X (a+1)X 0 (a+1)X X 0 0 (a+1)X X 0 aX (a+1)X 0 aX 0 0 (a+1)X (a+1)X aX (a+1)X (a+1)X generates a code of length 90 over F4[X,sigma]/(X^2) who�s minimum homogenous weight is 258. Homogenous weight enumerator: w(x)=1x^0+792x^258+672x^259+159x^260+1632x^262+1164x^263+261x^264+1944x^266+1392x^267+144x^268+1452x^270+888x^271+132x^272+1128x^274+816x^275+126x^276+1032x^278+624x^279+93x^280+708x^282+276x^283+60x^284+408x^286+252x^287+33x^288+84x^290+60x^291+15x^292+36x^294 The gray image is a linear code over GF(4) with n=360, k=7 and d=258. This code was found by Heurico 1.16 in 3.43 seconds.