The generator matrix

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

generates a code of length 76 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 207.

Homogenous weight enumerator: w(x)=1x^0+444x^207+489x^208+132x^209+636x^210+3240x^211+2634x^212+276x^213+1584x^214+7776x^215+5439x^216+1032x^217+3300x^218+13692x^219+8859x^220+1572x^221+5208x^222+20100x^223+12126x^224+2052x^225+7044x^226+26112x^227+15780x^228+2868x^229+7404x^230+27060x^231+14808x^232+2400x^233+6540x^234+21864x^235+10788x^236+1404x^237+3744x^238+10992x^239+5349x^240+432x^241+1200x^242+3432x^243+1188x^244+120x^245+204x^246+444x^247+282x^248+12x^251+39x^252+9x^256+9x^260+9x^264+12x^268+3x^276

The gray image is a linear code over GF(4) with n=304, k=9 and d=207.
This code was found by Heurico 1.16 in 317 seconds.