The generator matrix

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

generates a code of length 74 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 207.

Homogenous weight enumerator: w(x)=1x^0+1572x^207+768x^208+4632x^211+1815x^212+7512x^215+2412x^216+8640x^219+3240x^220+8616x^223+2793x^224+8892x^227+2958x^228+5928x^231+1836x^232+2664x^235+432x^236+660x^239+126x^240+36x^243+3x^244

The gray image is a linear code over GF(4) with n=296, k=8 and d=207.
This code was found by Heurico 1.16 in 248 seconds.