The generator matrix

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

generates a code of length 89 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 245.

Homogenous weight enumerator: w(x)=1x^0+276x^245+456x^246+696x^247+882x^248+2448x^249+1644x^250+2364x^251+2511x^252+4608x^253+3852x^254+4452x^255+4500x^256+8040x^257+6384x^258+6972x^259+6399x^260+11004x^261+9252x^262+9360x^263+9021x^264+15168x^265+11304x^266+11376x^267+9858x^268+15792x^269+10980x^270+11436x^271+9429x^272+13572x^273+9324x^274+8388x^275+6543x^276+9732x^277+5412x^278+4512x^279+2862x^280+4104x^281+2292x^282+1596x^283+1008x^284+1104x^285+480x^286+264x^287+156x^288+156x^289+60x^290+24x^291+21x^292+12x^293+24x^296+9x^300+9x^304+3x^308+9x^312+3x^320

The gray image is a linear code over GF(4) with n=356, k=9 and d=245.
This code was found by Heurico 1.16 in 403 seconds.