The generator matrix

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

generates a code of length 91 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 251.

Homogenous weight enumerator: w(x)=1x^0+288x^251+693x^252+612x^253+636x^254+2424x^255+2682x^256+2352x^257+1824x^258+4860x^259+5055x^260+4680x^261+2892x^262+7392x^263+7734x^264+6996x^265+4668x^266+11436x^267+10887x^268+9732x^269+5988x^270+15012x^271+14055x^272+11196x^273+6756x^274+15732x^275+14349x^276+10668x^277+6828x^278+14268x^279+11463x^280+8388x^281+4272x^282+9360x^283+6954x^284+4776x^285+2256x^286+3828x^287+3012x^288+1764x^289+612x^290+1224x^291+771x^292+252x^293+120x^294+180x^295+108x^296+24x^297+12x^298+12x^299+18x^300+15x^304+3x^308+6x^312+6x^316+9x^320+3x^328

The gray image is a linear code over GF(4) with n=364, k=9 and d=251.
This code was found by Heurico 1.16 in 432 seconds.