The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  X  1 aX  1  1  1  1 (a+1)X  1  1  1  1  1  1  1  1  1  1  1  1  0 aX (a+1)X  1  1  X  1  1  1  1  1  1  1  1  X aX  1 (a+1)X  1 aX  1  1  X  1 aX  1  X  1  0  1  1  1  1
 0  1  0 (a+1)X  X aX  1 (a+1)X+a a+1 (a+1)X+1 X+1 aX+1 X+a+1  1  a  1 (a+1)X+a X+a (a+1)X+a+1 aX+a+1  1  0 aX+a (a+1)X+1 X+a X+a+1 (a+1)X+a+1 aX+a+1 aX+a X+1 (a+1)X a+1  1  1  0  1  X X+a+1  1 aX+1 (a+1)X+a+1 aX+1 (a+1)X+a+1 aX+a X+1 a+1 (a+1)X+1  1  1  a  1 X+a+1  1 X+1 (a+1)X+1  1 a+1  1 aX+a+1  1 aX+a  1 X+1  1 X+a X+a
 0  0  1  1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a+1 X+a X+1 (a+1)X aX+a X+a+1  a (a+1)X+1 aX aX+1  0 X+1  a  X  1 aX+a  X (a+1)X+1 X+a+1 (a+1)X X+a  X (a+1)X+1  a aX+a aX+a+1  1  1 X+a (a+1)X X+a  1 aX X+a+1 aX+a+1 a+1  a X+1  X (a+1)X  a aX (a+1)X+1 (a+1)X+a+1 aX+1 a+1 aX  1 (a+1)X+1 aX+a+1  0 (a+1)X+a (a+1)X+a (a+1)X+a+1 (a+1)X aX+1 aX+a+1 (a+1)X+1

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

Homogenous weight enumerator: w(x)=1x^0+636x^191+306x^192+1080x^195+324x^196+588x^199+180x^200+300x^203+72x^204+216x^207+57x^208+156x^211+57x^212+96x^215+24x^216+3x^228

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 0.0882 seconds.