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

generates a code of length 48 over F4[X]/(X^2) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+312x^126+684x^127+582x^128+948x^129+2172x^130+3024x^131+2388x^132+2700x^133+5844x^134+7104x^135+5439x^136+5160x^137+12516x^138+12600x^139+9816x^140+8832x^141+19548x^142+19248x^143+14286x^144+11076x^145+22788x^146+20448x^147+13050x^148+9132x^149+16812x^150+12528x^151+6159x^152+4320x^153+5532x^154+3864x^155+1392x^156+840x^157+492x^158+372x^159+66x^160+30x^164+18x^168+12x^172+9x^176

The gray image is a linear code over GF(4) with n=192, k=9 and d=126.
This code was found by Heurico 1.16 in 166 seconds.