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

generates a code of length 77 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+384x^210+288x^211+561x^212+1104x^213+2040x^214+2076x^215+2037x^216+3408x^217+5160x^218+4368x^219+4335x^220+4512x^221+8820x^222+7572x^223+6684x^224+7740x^225+12324x^226+10992x^227+9141x^228+9540x^229+16776x^230+13980x^231+10926x^232+10764x^233+16992x^234+13944x^235+10116x^236+9792x^237+13656x^238+9228x^239+6276x^240+5652x^241+7140x^242+4080x^243+2490x^244+2196x^245+2352x^246+936x^247+540x^248+564x^249+336x^250+120x^251+57x^252+24x^253+36x^254+36x^256+24x^260+3x^264+6x^268+6x^272+6x^276+3x^288

The gray image is a linear code over GF(4) with n=308, k=9 and d=210.
This code was found by Heurico 1.16 in 323 seconds.