The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+876x^187+489x^188+2532x^191+933x^192+2580x^195+840x^196+2160x^199+540x^200+2088x^203+690x^204+1224x^207+363x^208+648x^211+228x^212+180x^215+9x^220+3x^240

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 1.01 seconds.