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

generates a code of length 50 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+168x^134+216x^135+555x^136+408x^137+1176x^138+840x^139+1494x^140+1224x^141+2904x^142+1452x^143+2451x^144+1932x^145+4608x^146+2436x^147+3162x^148+3072x^149+5928x^150+3264x^151+4065x^152+3072x^153+5736x^154+2688x^155+3240x^156+2136x^157+3288x^158+1212x^159+1134x^160+444x^161+768x^162+180x^163+174x^164+39x^168+21x^172+24x^176+18x^180+3x^184+3x^188

The gray image is a linear code over GF(4) with n=200, k=8 and d=134.
This code was found by Heurico 1.16 in 14.4 seconds.