The generator matrix

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

generates a code of length 49 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+519x^132+432x^133+336x^134+432x^135+1974x^136+1656x^137+1260x^138+636x^139+3456x^140+2556x^141+2148x^142+1044x^143+6015x^144+3960x^145+2904x^146+1608x^147+6969x^148+4872x^149+3000x^150+1416x^151+6459x^152+3528x^153+2172x^154+828x^155+2763x^156+1260x^157+468x^158+180x^159+399x^160+168x^161+27x^164+45x^168+39x^172+3x^176+3x^180

The gray image is a linear code over GF(4) with n=196, k=8 and d=132.
This code was found by Heurico 1.16 in 13.4 seconds.