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

generates a code of length 66 over F4[X]/(X^2) who´s minimum homogenous weight is 191.

Homogenous weight enumerator: w(x)=1x^0+336x^191+339x^192+792x^193+576x^195+228x^196+360x^197+216x^199+129x^200+24x^203+240x^204+312x^207+69x^208+360x^209+72x^211+12x^212+24x^213+3x^216+3x^224

The gray image is a linear code over GF(4) with n=264, k=6 and d=191.
This code was found by Heurico 1.16 in 40.7 seconds.