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

generates a code of length 65 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+1371x^184+2829x^188+3705x^192+3225x^196+2481x^200+1629x^204+903x^208+231x^212+6x^220+3x^224

The gray image is a linear code over GF(4) with n=260, k=7 and d=184.
This code was found by Heurico 1.16 in 1.17 seconds.