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

generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 199.

Homogenous weight enumerator: w(x)=1x^0+552x^199+801x^200+840x^201+912x^202+2676x^203+2478x^204+2472x^205+2748x^206+6300x^207+5112x^208+4308x^209+5124x^210+11376x^211+8376x^212+7092x^213+7680x^214+15888x^215+11193x^216+8856x^217+9648x^218+20172x^219+13095x^220+9852x^221+10212x^222+20472x^223+12927x^224+8364x^225+7956x^226+13608x^227+7845x^228+5340x^229+3624x^230+5880x^231+2886x^232+1704x^233+1128x^234+1224x^235+666x^236+300x^237+120x^238+156x^239+90x^240+24x^241+18x^244+30x^248+15x^252+3x^276

The gray image is a linear code over GF(4) with n=292, k=9 and d=199.
This code was found by Heurico 1.16 in 308 seconds.