The generator matrix

 1  0  0  0  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  X a*X  1 a^2*X  1  1  X a*X  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1 a^2*X
 0  1  0  0  0  X  X a^2*X+1 a*X+1  1 a^2*X+a a*X+a a*X+a^2 a^2 a^2*X+a a^2 a^2*X+1  1 a*X  a  1 a*X a^2*X+a  1 a*X+1 a*X  1  1 a^2  0 a^2*X+a^2 a^2*X+a^2 a^2*X+1  a a*X+a^2 a*X+a  1 X+a^2 a*X+a^2  1 a*X+a X+a  0 a*X  0  1 X+a  a  1
 0  0  1  0  1 a^2*X+a a^2*X+a^2  a a^2*X  a a*X+1  a a*X+a^2 a^2*X+a a^2 a^2 X+1 X+a X+a a^2*X+a a^2  1 a^2*X X+a^2 a*X+a^2 X+a a^2*X+1 a*X+1 a^2*X+a  1 a*X+a^2 a*X+a  1 a*X+a^2  X a^2*X+a  X a^2 a*X  1  X X+1 X+a^2  X a^2*X+a^2 a^2*X+a^2  X  a a^2*X+a^2
 0  0  0  1 a^2  a  1 a*X X+a  a  X a*X+a^2  X X+1  0  1  0 a^2*X+a a^2  1  a  1 X+a  X X+a^2 a*X+1 X+1 a^2*X X+a^2 a*X+a^2 a*X+a^2 a^2*X+a  a X+a^2 a^2*X+1  X a^2*X a*X+a X+1 a*X+a^2  0  a X+a^2 a*X+a  0 a^2*X a^2*X+1 a^2 a^2
 0  0  0  0  X  0 a*X  0  0  0  X  X a*X a*X a^2*X  X a*X a*X a^2*X a^2*X  X  X  X  0  0  0 a*X  X a^2*X a^2*X a^2*X  X a^2*X a*X a*X  0 a*X a^2*X  0 a^2*X a^2*X  0 a*X  X  X a*X  X  0 a^2*X

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

Homogenous weight enumerator: w(x)=1x^0+300x^129+516x^130+840x^131+1296x^132+1944x^133+2508x^134+3000x^135+3567x^136+5736x^137+5220x^138+7512x^139+6390x^140+10272x^141+10164x^142+13548x^143+10896x^144+16440x^145+14244x^146+19596x^147+13185x^148+19128x^149+15780x^150+19344x^151+11004x^152+13800x^153+9516x^154+8112x^155+5709x^156+5520x^157+3228x^158+1740x^159+1080x^160+588x^161+264x^162+36x^163+48x^164+45x^168+3x^172+9x^176+9x^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 200 seconds.