The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 X 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 (a+1)X aX 1 1 1 1 1 X 1 0 aX 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 aX aX 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 aX (a+1)X 1 1 1 1 1 1 1 X 0 1 1 a a+1 0 (a+1)X+1 (a+1)X+a+1 a 1 0 (a+1)X+1 (a+1)X+a+1 1 a X 1 (a+1)X+a+1 (a+1)X+1 a aX+a+1 0 aX+1 1 a (a+1)X+a+1 aX+1 (a+1)X+a+1 0 X+a aX+a+1 aX (a+1)X+1 1 1 X+1 a aX+a X aX+1 1 X+a+1 1 1 aX+a aX+1 aX+1 X+a 1 aX+a X+1 (a+1)X+1 X+a+1 aX (a+1)X 1 aX+a+1 (a+1)X+a+1 aX+1 1 1 aX+a+1 aX+a aX+a+1 (a+1)X aX+a 1 aX+a+1 aX+a aX+1 aX+a+1 X+a aX+a X+a X 0 X+a+1 aX+a+1 (a+1)X+a 1 aX+a+1 1 1 1 1 X+a X aX+a 1 0 (a+1)X+1 aX 0 0 (a+1)X 0 0 0 X aX X X X (a+1)X (a+1)X aX aX aX 0 0 X aX (a+1)X aX (a+1)X (a+1)X (a+1)X aX X aX X aX (a+1)X X X aX aX aX (a+1)X (a+1)X aX 0 0 0 (a+1)X (a+1)X X 0 aX (a+1)X aX X aX aX X (a+1)X aX (a+1)X X X 0 0 aX aX X 0 0 0 (a+1)X aX X (a+1)X X X 0 0 aX (a+1)X (a+1)X aX aX aX 0 X X (a+1)X 0 X 0 X X aX 0 0 0 0 0 X 0 X (a+1)X (a+1)X X (a+1)X 0 (a+1)X X X 0 X 0 (a+1)X (a+1)X 0 0 X (a+1)X (a+1)X X aX (a+1)X (a+1)X X (a+1)X (a+1)X 0 0 X (a+1)X aX 0 X X aX aX (a+1)X (a+1)X X X (a+1)X 0 X (a+1)X aX X X (a+1)X (a+1)X (a+1)X aX X (a+1)X (a+1)X X (a+1)X (a+1)X 0 0 X 0 0 X 0 0 X 0 0 (a+1)X (a+1)X 0 X 0 0 aX 0 aX X (a+1)X 0 X (a+1)X (a+1)X X 0 (a+1)X (a+1)X 0 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 aX X aX 0 aX (a+1)X X (a+1)X X X aX X (a+1)X 0 (a+1)X aX X 0 0 X aX (a+1)X (a+1)X aX (a+1)X aX (a+1)X 0 X aX aX (a+1)X aX 0 X aX (a+1)X 0 (a+1)X (a+1)X 0 (a+1)X 0 0 (a+1)X X X X X aX 0 X aX (a+1)X X X X (a+1)X 0 0 X (a+1)X X 0 X 0 X X (a+1)X X X aX aX (a+1)X X (a+1)X X 0 (a+1)X 0 aX X (a+1)X generates a code of length 92 over F4[X,sigma]/(X^2) who�s minimum homogenous weight is 260. Homogenous weight enumerator: w(x)=1x^0+177x^260+348x^261+132x^262+696x^264+504x^265+372x^266+1095x^268+876x^269+480x^270+996x^272+1188x^273+564x^274+1215x^276+876x^277+528x^278+1329x^280+1032x^281+492x^282+999x^284+804x^285+384x^286+369x^288+420x^289+108x^290+141x^292+72x^293+12x^294+51x^296+24x^297+30x^300+21x^304+27x^308+3x^312+3x^320+6x^324+3x^328+6x^332 The gray image is a linear code over GF(4) with n=368, k=7 and d=260. This code was found by Heurico 1.16 in 2.22 seconds.