The generator matrix

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

generates a code of length 79 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 216.

Homogenous weight enumerator: w(x)=1x^0+471x^216+324x^217+204x^218+1140x^219+2967x^220+2172x^221+1080x^222+2976x^223+6984x^224+4176x^225+2532x^226+6120x^227+10695x^228+6852x^229+4212x^230+8340x^231+15564x^232+9648x^233+5268x^234+10344x^235+20733x^236+12396x^237+6132x^238+12660x^239+21009x^240+11880x^241+5832x^242+10740x^243+16956x^244+8892x^245+3660x^246+6300x^247+9219x^248+3996x^249+1416x^250+2412x^251+3240x^252+984x^253+372x^254+348x^255+588x^256+120x^257+12x^258+60x^259+69x^260+12x^264+6x^268+18x^272+6x^276+6x^288

The gray image is a linear code over GF(4) with n=316, k=9 and d=216.
This code was found by Heurico 1.16 in 330 seconds.