The generator matrix

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

generates a code of length 51 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+372x^135+684x^136+708x^137+1308x^138+2916x^139+2460x^140+2532x^141+3312x^142+6564x^143+5403x^144+5616x^145+7416x^146+13332x^147+9252x^148+10212x^149+10692x^150+20364x^151+14028x^152+14460x^153+13572x^154+22956x^155+14598x^156+13212x^157+12216x^158+18156x^159+9186x^160+7080x^161+5712x^162+6492x^163+3240x^164+1404x^165+1044x^166+1008x^167+447x^168+72x^169+24x^170+42x^172+21x^176+15x^180+3x^184+6x^188+3x^192+3x^196

The gray image is a linear code over GF(4) with n=204, k=9 and d=135.
This code was found by Heurico 1.16 in 191 seconds.