The generator matrix

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

generates a code of length 71 over F4[X]/(X^2) who´s minimum homogenous weight is 201.

Homogenous weight enumerator: w(x)=1x^0+444x^201+684x^202+264x^203+42x^204+1188x^205+1176x^206+552x^207+51x^208+1404x^209+1416x^210+480x^211+36x^212+1260x^213+1296x^214+348x^215+54x^216+1104x^217+1116x^218+348x^219+42x^220+792x^221+744x^222+132x^223+18x^224+456x^225+432x^226+108x^227+264x^229+48x^230+72x^231+12x^232

The gray image is a linear code over GF(4) with n=284, k=7 and d=201.
This code was found by Heurico 1.16 in 1.08 seconds.