The generator matrix

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

generates a code of length 48 over F4[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+306x^128+192x^129+84x^130+384x^131+1800x^132+816x^133+468x^134+1176x^135+3807x^136+1572x^137+912x^138+2136x^139+6489x^140+2436x^141+1320x^142+2928x^143+8694x^144+3096x^145+1908x^146+3120x^147+8079x^148+2856x^149+1092x^150+2040x^151+4536x^152+1092x^153+360x^154+504x^155+963x^156+228x^157+63x^160+33x^164+21x^168+12x^172+12x^176

The gray image is a linear code over GF(4) with n=192, k=8 and d=128.
This code was found by Heurico 1.16 in 13.2 seconds.