The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  0 (a+1)X  1  1  1  1 (a+1)X  1  1 (a+1)X  1  1  1  X  1  X  1  1  1  1  1  1  1 (a+1)X  1  1  1  0  1  1  1  X  1  1  1 aX  1  1  1  1  X  1 aX  1  1  1  1  0  1  1  1 aX  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  0 (a+1)X  X  1  1 (a+1)X  1  0  1  1
 0  1  0  0  0 (a+1)X  1 (a+1)X+a a+1 (a+1)X+1  1 (a+1)X+a (a+1)X+a+1 (a+1)X+a+1  1  1  a (a+1)X+1 a+1 X+a  1 (a+1)X+a+1 X+a  1 (a+1)X  a (a+1)X aX X+1  1 aX+1 (a+1)X+a  0  1 a+1  a aX+a+1  1 (a+1)X+a+1 (a+1)X+1  0  1  1 (a+1)X  1  1 (a+1)X+a+1 a+1  0  1  X (a+1)X+a  1  1  1  0  1 (a+1)X+a+1 a+1 X+a+1 X+1  X aX X+a (a+1)X+a  1 X+1 (a+1)X aX+1  1 aX+1 aX+a  a aX+a a+1  X (a+1)X+a+1 (a+1)X+1  0 aX+1 X+a+1  1  X  1  1  X (a+1)X+a (a+1)X+1  1  a  1 X+1  X
 0  0  1  1  a a+1  1 X+1  1  0 a+1 X+a+1 aX  a  a  1 aX+a  a a+1 aX a+1 X+1 X+a+1 a+1 aX+1 aX+a (a+1)X+a+1  1 (a+1)X+a (a+1)X aX+a+1 aX aX+a  0 aX+a+1 (a+1)X+1  a (a+1)X+1  X  a  X  a X+1 aX+a (a+1)X (a+1)X+a  X X+a+1 aX+a+1 (a+1)X+a+1  1 X+a+1 aX+a+1  1 aX+1 (a+1)X X+1 (a+1)X+a+1 (a+1)X+1 X+a X+1  1 aX+a+1  0 X+1 (a+1)X aX+a X+1  0 (a+1)X+a  a aX+a a+1 (a+1)X+1 aX+a X+a aX a+1 aX+a X+a+1 aX  0 aX+a+1 aX+a+1 (a+1)X+a+1  1 (a+1)X+a+1  1  0 X+a X+1 X+1  0
 0  0  0 (a+1)X  0  0  0 aX aX aX (a+1)X  X  X  X  X (a+1)X (a+1)X aX (a+1)X aX  X  0 (a+1)X aX aX aX  X  X  0 (a+1)X  0  X  X  0  X  0 aX (a+1)X aX  X aX aX  X  X aX (a+1)X  0 aX  X aX  X  0  X  0  0  X  0 aX  0 (a+1)X  X (a+1)X aX aX (a+1)X  X  X aX (a+1)X aX (a+1)X aX  X aX  X  X (a+1)X (a+1)X (a+1)X (a+1)X  0 (a+1)X aX  X  0 aX (a+1)X  0 (a+1)X  0 aX aX  0
 0  0  0  0  X aX (a+1)X  X  0 aX  X (a+1)X  X  0  X (a+1)X aX  0 aX aX (a+1)X  0  X aX (a+1)X (a+1)X aX  0 aX aX (a+1)X  0  X aX aX  0 aX  0  0  X  X  0  0 (a+1)X (a+1)X  0  X (a+1)X (a+1)X  X (a+1)X (a+1)X  X  X (a+1)X aX aX aX  X  X (a+1)X aX aX (a+1)X  X aX aX  0 aX aX (a+1)X aX  X (a+1)X  X  0 aX (a+1)X  X  0  0  0  0 aX aX (a+1)X aX aX (a+1)X  0 aX  0  0

generates a code of length 93 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 260.

Homogenous weight enumerator: w(x)=1x^0+156x^260+192x^261+96x^262+480x^263+1491x^264+1440x^265+168x^266+1356x^267+2238x^268+2292x^269+396x^270+2064x^271+3747x^272+3396x^273+492x^274+2496x^275+4095x^276+3444x^277+504x^278+2544x^279+4353x^280+3540x^281+552x^282+2688x^283+4161x^284+3360x^285+456x^286+1968x^287+2973x^288+2316x^289+204x^290+1200x^291+1434x^292+1092x^293+168x^294+432x^295+729x^296+348x^297+24x^298+132x^299+123x^300+84x^301+12x^302+33x^304+15x^308+18x^312+12x^316+12x^320+6x^324+3x^328

The gray image is a linear code over GF(4) with n=372, k=8 and d=260.
This code was found by Heurico 1.16 in 30.8 seconds.