The generator matrix

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

generates a code of length 73 over F4[X]/(X^2) who´s minimum homogenous weight is 211.

Homogenous weight enumerator: w(x)=1x^0+432x^211+231x^212+1176x^215+471x^216+480x^219+48x^220+312x^223+33x^224+312x^227+45x^228+336x^231+183x^232+24x^235+6x^236+6x^244

The gray image is a linear code over GF(4) with n=292, k=6 and d=211.
This code was found by Heurico 1.16 in 0.214 seconds.