The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 0 1 1 1 X 1 aX 1 0 1 aX 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 aX 1 1 1 X 1 0 1 1 1 1 0 1 aX 1 (a+1)X 1 1 1 X 1 1 1 1 (a+1)X X 0 1 aX 1 1 1 1 aX 1 1 1 1 X 1 1 0 1 0 0 X aX 1 (a+1)X+a a+1 (a+1)X+1 X+1 X+a aX+1 X+a+1 1 a+1 1 X+a (a+1)X+a aX+a+1 1 (a+1)X+a+1 1 X+a 1 X+a+1 1 aX a (a+1)X+1 aX 0 1 (a+1)X 1 X+a+1 1 X+1 (a+1)X+a+1 aX (a+1)X+a+1 (a+1)X a+1 (a+1)X+a X+1 X aX+a X+a+1 (a+1)X+a+1 X 1 aX+a a a+1 0 (a+1)X 1 a a (a+1)X+1 aX+1 1 aX 1 1 aX (a+1)X+a (a+1)X+a+1 0 1 X X+a X+a a 1 aX 1 (a+1)X+a 1 (a+1)X+1 1 (a+1)X+a+1 0 (a+1)X X+a aX+a (a+1)X+1 0 1 (a+1)X a+1 0 0 1 1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a+1 X+a X+1 a (a+1)X aX+a 1 X+1 a (a+1)X (a+1)X+1 aX (a+1)X+a+1 aX aX+1 0 a (a+1)X+1 aX+a+1 X+a aX+a+1 aX X+a+1 (a+1)X (a+1)X (a+1)X+1 (a+1)X+1 1 X+a+1 X+a (a+1)X+a+1 a (a+1)X+a 0 X+a+1 a aX+a+1 1 0 (a+1)X (a+1)X+a X+1 (a+1)X+a (a+1)X+a+1 X+1 a 1 aX (a+1)X+1 1 1 aX 0 X aX+a+1 aX aX+1 1 X+a X+a+1 aX+a aX+a+1 (a+1)X+a+1 (a+1)X aX+a (a+1)X aX+a 1 (a+1)X+a+1 aX+a+1 (a+1)X a X+a X+a (a+1)X 1 0 0 (a+1)X+a (a+1)X+a+1 (a+1)X X+a+1 (a+1)X+a+1 0 0 0 (a+1)X 0 0 0 0 0 0 0 0 0 0 X aX X (a+1)X aX (a+1)X (a+1)X X (a+1)X X aX (a+1)X aX aX aX aX (a+1)X aX X 0 X X aX X X X (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X aX 0 aX aX X 0 X (a+1)X X aX X 0 0 X (a+1)X X (a+1)X X aX aX X X aX (a+1)X 0 aX X aX 0 (a+1)X (a+1)X X (a+1)X 0 aX 0 (a+1)X 0 aX aX (a+1)X X (a+1)X aX aX 0 generates a code of length 91 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 261. Homogenous weight enumerator: w(x)=1x^0+612x^261+948x^262+336x^263+42x^264+1224x^265+1368x^266+504x^267+63x^268+1416x^269+1140x^270+420x^271+27x^272+1056x^273+1116x^274+396x^275+24x^276+912x^277+792x^278+252x^279+63x^280+852x^281+792x^282+216x^283+27x^284+468x^285+492x^286+132x^287+228x^289+180x^290+36x^291+6x^292+96x^293+84x^294+12x^295+3x^296+48x^297 The gray image is a linear code over GF(4) with n=364, k=7 and d=261. This code was found by Heurico 1.16 in 85.9 seconds.