The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+555x^132+480x^133+612x^134+1092x^135+3246x^136+2352x^137+2076x^138+3648x^139+6564x^140+5520x^141+4176x^142+7680x^143+13608x^144+10080x^145+8136x^146+12948x^147+21030x^148+14724x^149+10728x^150+15588x^151+25353x^152+14880x^153+10620x^154+13704x^155+17658x^156+9960x^157+5472x^158+5784x^159+6993x^160+3120x^161+1152x^162+996x^163+1152x^164+324x^165+36x^166+33x^168+24x^172+24x^176+9x^180+6x^184

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 175 seconds.