The generator matrix

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

generates a code of length 99 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 275.

Homogenous weight enumerator: w(x)=1x^0+576x^275+963x^276+960x^277+720x^278+2724x^279+2853x^280+2724x^281+1932x^282+4920x^283+5124x^284+4452x^285+3396x^286+7704x^287+8211x^288+7068x^289+4356x^290+10956x^291+10944x^292+9228x^293+5724x^294+14328x^295+12774x^296+10656x^297+6828x^298+15768x^299+13563x^300+10584x^301+5892x^302+13524x^303+11697x^304+8424x^305+4548x^306+9048x^307+6972x^308+5016x^309+2340x^310+4716x^311+3450x^312+1788x^313+936x^314+1440x^315+1029x^316+468x^317+168x^318+300x^319+165x^320+60x^321+24x^322+12x^323+36x^324+12x^325+15x^328+3x^332+9x^336+6x^344+3x^348+3x^352+3x^356

The gray image is a linear code over GF(4) with n=396, k=9 and d=275.
This code was found by Heurico 1.16 in 535 seconds.