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

generates a code of length 75 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 204.

Homogenous weight enumerator: w(x)=1x^0+249x^204+396x^205+216x^206+1332x^207+2280x^208+2100x^209+1320x^210+3684x^211+4719x^212+4728x^213+2508x^214+7272x^215+8004x^216+7092x^217+3948x^218+10776x^219+12702x^220+11088x^221+5340x^222+15012x^223+16341x^224+13848x^225+6012x^226+16284x^227+17787x^228+13584x^229+5604x^230+14496x^231+12411x^232+9444x^233+3924x^234+8160x^235+6870x^236+3972x^237+1452x^238+2400x^239+2154x^240+1212x^241+348x^242+456x^243+366x^244+120x^245+48x^246+30x^248+15x^252+24x^256+12x^260+3x^264

The gray image is a linear code over GF(4) with n=300, k=9 and d=204.
This code was found by Heurico 1.16 in 308 seconds.