The generator matrix

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

generates a code of length 50 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+390x^132+804x^133+396x^134+1284x^135+2379x^136+3036x^137+1416x^138+4104x^139+6429x^140+7164x^141+2976x^142+8508x^143+11904x^144+12960x^145+5844x^146+14160x^147+18216x^148+18864x^149+7884x^150+16608x^151+21792x^152+19548x^153+7536x^154+15288x^155+16104x^156+12876x^157+3912x^158+6492x^159+5739x^160+4200x^161+756x^162+1104x^163+918x^164+420x^165+36x^167+36x^168+30x^172+18x^176+6x^180+3x^184+3x^188

The gray image is a linear code over GF(4) with n=200, k=9 and d=132.
This code was found by Heurico 1.16 in 185 seconds.