The generator matrix

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

generates a code of length 95 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 263.

Homogenous weight enumerator: w(x)=1x^0+300x^263+708x^264+888x^265+780x^266+2352x^267+2652x^268+2724x^269+1824x^270+4824x^271+5304x^272+4692x^273+3288x^274+8076x^275+7683x^276+6984x^277+4488x^278+11100x^279+11190x^280+9576x^281+5796x^282+14520x^283+13674x^284+10248x^285+6600x^286+16152x^287+13902x^288+10380x^289+6072x^290+13572x^291+11253x^292+8484x^293+4812x^294+9408x^295+7476x^296+4968x^297+2136x^298+4560x^299+3003x^300+1836x^301+864x^302+1032x^303+756x^304+600x^305+168x^306+120x^307+159x^308+60x^309+36x^310+15x^312+18x^316+15x^320+9x^328+3x^332+3x^340

The gray image is a linear code over GF(4) with n=380, k=9 and d=263.
This code was found by Heurico 1.16 in 444 seconds.