The generator matrix

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

generates a code of length 75 over F4[X]/(X^2) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+249x^204+264x^205+276x^206+1392x^207+1749x^208+2100x^209+1824x^210+4428x^211+3798x^212+4272x^213+3732x^214+7476x^215+6489x^216+6708x^217+6108x^218+11448x^219+9762x^220+10596x^221+8724x^222+16008x^223+12117x^224+12228x^225+10848x^226+18348x^227+14004x^228+11244x^229+9660x^230+14736x^231+9840x^232+8460x^233+5484x^234+8784x^235+5556x^236+4116x^237+2088x^238+2904x^239+1620x^240+1224x^241+408x^242+480x^243+240x^244+228x^245+12x^247+57x^248+27x^252+9x^256+12x^260+6x^272

The gray image is a linear code over GF(4) with n=300, k=9 and d=204.
This code was found by Heurico 1.16 in 320 seconds.