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.