The generator matrix

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

generates a code of length 53 over F4[X]/(X^2) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+213x^140+384x^141+360x^142+876x^143+1671x^144+3336x^145+1716x^146+3096x^147+4179x^148+7056x^149+4752x^150+4980x^151+7752x^152+13980x^153+7896x^154+8184x^155+13332x^156+21744x^157+11388x^158+12216x^159+15966x^160+24648x^161+12420x^162+11160x^163+14265x^164+18432x^165+8136x^166+6372x^167+6309x^168+7644x^169+2352x^170+2040x^171+1653x^172+1056x^173+132x^174+228x^175+138x^176+24x^177+24x^180+3x^184+15x^188+12x^196+3x^204

The gray image is a linear code over GF(4) with n=212, k=9 and d=140.
This code was found by Heurico 1.16 in 190 seconds.