The generator matrix

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

generates a code of length 74 over F4[X]/(X^2) who´s minimum homogenous weight is 201.

Homogenous weight enumerator: w(x)=1x^0+216x^201+372x^202+336x^203+1323x^204+2268x^205+2160x^206+1176x^207+3240x^208+4704x^209+4632x^210+2808x^211+5739x^212+8460x^213+7608x^214+4824x^215+10740x^216+12924x^217+10680x^218+6624x^219+13566x^220+16500x^221+13764x^222+7608x^223+14700x^224+18000x^225+13296x^226+7296x^227+12507x^228+13764x^229+9552x^230+4344x^231+6963x^232+6948x^233+4260x^234+1536x^235+2274x^236+1920x^237+1188x^238+288x^239+516x^240+312x^241+72x^242+24x^243+42x^244+24x^248+15x^252+18x^256+3x^260+3x^264+3x^272+3x^276

The gray image is a linear code over GF(4) with n=296, k=9 and d=201.
This code was found by Heurico 1.16 in 317 seconds.