The generator matrix

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

generates a code of length 49 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+396x^129+600x^130+828x^131+807x^132+2496x^133+2460x^134+2544x^135+2895x^136+6696x^137+6168x^138+5448x^139+5754x^140+13344x^141+10884x^142+10380x^143+10215x^144+20616x^145+15828x^146+14136x^147+11640x^148+23376x^149+17172x^150+13320x^151+10665x^152+17976x^153+11088x^154+7080x^155+4425x^156+6480x^157+2988x^158+1500x^159+585x^160+780x^161+396x^162+60x^163+51x^164+24x^168+15x^172+9x^176+12x^180+6x^184

The gray image is a linear code over GF(4) with n=196, k=9 and d=129.
This code was found by Heurico 1.16 in 181 seconds.