The generator matrix

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

generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 208.

Homogenous weight enumerator: w(x)=1x^0+1470x^208+3153x^212+3471x^216+3057x^220+2184x^224+1620x^228+1029x^232+375x^236+21x^240+3x^260

The gray image is a linear code over GF(4) with n=292, k=7 and d=208.
This code was found by Heurico 1.16 in 2.25 seconds.