The generator matrix

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

generates a code of length 66 over F4[X]/(X^2) who´s minimum homogenous weight is 187.

Homogenous weight enumerator: w(x)=1x^0+1020x^187+453x^188+2412x^191+840x^192+2352x^195+1011x^196+2424x^199+639x^200+2076x^203+522x^204+1116x^207+390x^208+696x^211+219x^212+192x^215+15x^216+3x^220+3x^224

The gray image is a linear code over GF(4) with n=264, k=7 and d=187.
This code was found by Heurico 1.16 in 2.31 seconds.