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 1 1 1 1 X X 1 0 1 1 (a+1)X 1 1 1 1 1 X 1 1 (a+1)X 1 (a+1)X 1 1 1 1 (a+1)X 1 1 0 1 1 1 0 (a+1)X 1 1 1 1 1 aX 1 1 1 0 1 1 1 1 1 1 1 1 X 0 X aX 1 1 1 (a+1)X 1 1 1 aX 1 0 1 X 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 (a+1)X+a+1 aX+1 1 (a+1)X (a+1)X+a aX+a+1 1 1 (a+1)X+a+1 1 X aX 1 (a+1)X aX+a+1 (a+1)X+1 X+1 (a+1)X+a+1 1 a+1 X+a X aX+a 1 X+a X+a+1 (a+1)X+1 1 aX aX+a+1 a 1 aX+a (a+1)X+a+1 X+a+1 1 1 X+1 X+a aX 1 X 1 X+a+1 X+1 a X (a+1)X+a+1 (a+1)X+a (a+1)X aX+a aX+a+1 aX aX X+a+1 1 1 1 1 0 1 aX+a+1 1 aX (a+1)X+a X+1 (a+1)X aX+a+1 1 X+a+1 1 aX 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 (a+1)X (a+1)X 1 aX+a+1 1 aX+a+1 aX+a X+1 a X+1 X+a+1 X+a+1 a (a+1)X+a+1 aX X+a+1 0 aX+a X+a (a+1)X (a+1)X+a+1 (a+1)X+1 1 aX+a 1 a (a+1)X X+a 1 1 a+1 (a+1)X+1 (a+1)X (a+1)X (a+1)X+a 1 1 (a+1)X+a a+1 (a+1)X+1 (a+1)X+a+1 aX (a+1)X+a aX+a aX X+a X 1 aX+1 aX (a+1)X+a aX X+a+1 X+1 X+a X+a aX+a (a+1)X aX+1 X+a (a+1)X+a+1 X a+1 aX (a+1)X+1 a+1 aX+a 1 0 X+1 aX+a 1 (a+1)X+1 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 X (a+1)X aX aX 0 X 0 0 X X X aX aX 0 (a+1)X X X aX aX (a+1)X aX X aX (a+1)X (a+1)X 0 0 0 X (a+1)X X 0 (a+1)X aX X aX (a+1)X aX X aX (a+1)X X X 0 aX (a+1)X aX X aX 0 0 (a+1)X 0 X (a+1)X 0 (a+1)X aX X aX aX (a+1)X aX X aX aX (a+1)X aX aX aX (a+1)X aX X generates a code of length 92 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 264. Homogenous weight enumerator: w(x)=1x^0+615x^264+720x^265+468x^266+1326x^268+1188x^269+600x^270+1428x^272+1356x^273+660x^274+1176x^276+924x^277+540x^278+891x^280+612x^281+300x^282+732x^284+660x^285+216x^286+573x^288+456x^289+180x^290+243x^292+120x^293+84x^294+156x^296+72x^297+24x^298+24x^300+36x^301+3x^308 The gray image is a linear code over GF(4) with n=368, k=7 and d=264. This code was found by Heurico 1.16 in 2.1 seconds.