The generator matrix

 1  0  0  0  1  1  1  1  1  X  1  1  1  1  1  0  X  1 a^2*X a*X  1  1  1  1  1  1  1  1 a*X  X a*X  1  1  1 a*X  1  1  1 a^2*X  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1
 0  1  0  0  0  X  X a^2*X+1 a*X+1  1 a^2*X+a a*X+a a*X+a^2 a^2 a^2*X+1  1  1 a*X  1  1  1  X a^2*X+a^2 a^2*X X+1  0  X a^2*X+a^2  1  1  1 a^2*X+a^2 a^2*X+a^2 a^2*X+1 a^2*X a^2 a^2  1  1 a^2*X+a X+1 a^2*X+a a*X+a  X a*X+1 X+a^2 a^2*X X+a^2  1 a^2*X+1 X+a  0  X a*X X+a^2  1 a*X+a^2 a*X a*X+1 a*X+a X+1  1 a*X+1 a*X+a^2 a*X
 0  0  1  0  1 a^2*X+a a^2*X+a^2  a a^2*X  a a*X+1  a a^2*X+a a^2  0 X+a  0 a*X a^2*X+1 X+a^2  a a^2*X+1 X+1 a^2*X+a^2 X+a^2  a a*X+a a*X+a^2 a*X a*X+a^2 a^2*X+1  X  X X+a^2  1 X+a^2  a a^2*X a^2 a^2*X+a a^2*X+a a*X+1 a^2 X+a  1 a*X+1 a^2*X+1 a^2*X+1 a^2 X+1 a^2*X+1 a^2*X  0 X+a a*X+a a^2*X+a^2  X a^2*X+a^2 a^2*X+a^2  X a*X+a a^2*X a^2*X+1 a^2*X a*X
 0  0  0  1 a^2  a  1 a*X X+a  a  X a*X+a^2 a^2*X+1  0 a*X a^2*X a^2*X+a^2 a^2*X+a^2 a^2*X+a^2  0 a*X+a a^2*X+1  a  X a*X+1 a*X+a^2  1 a^2*X+1 a*X+1 a^2*X+a a^2*X+1  X a^2*X+a^2 a^2*X+a X+a a^2*X+a a*X+a^2  1 a^2*X+a^2 a*X  1 a^2*X+1 a*X+a^2  0 a^2*X a^2*X+a^2 X+a^2 a^2  0 a^2*X+a^2 a^2*X+1 a^2*X+a^2 a^2*X+a a^2 a^2*X+a  a X+a a^2*X+a^2 a^2*X+a X+a X+a^2 X+1 a*X a*X+1  a
 0  0  0  0  X  0 a*X  0  0  0  X  X a*X a*X  X  X a*X a*X a^2*X a^2*X a*X  X a^2*X  X a*X  0 a^2*X  X  X a^2*X a^2*X  0  X a*X  0  0 a^2*X  X  X a*X  0 a^2*X a^2*X a^2*X a^2*X  0  0 a*X a*X  X a*X  X a*X a^2*X  X  X  0  X a^2*X a*X a^2*X  0  0 a^2*X a*X

generates a code of length 65 over F4[X]/(X^2) who´s minimum homogenous weight is 175.

Homogenous weight enumerator: w(x)=1x^0+300x^175+309x^176+600x^177+1260x^178+2544x^179+1338x^180+2280x^181+3240x^182+5760x^183+3048x^184+4884x^185+6600x^186+10068x^187+6225x^188+7356x^189+10332x^190+15612x^191+9372x^192+11208x^193+14100x^194+19164x^195+10596x^196+12324x^197+15660x^198+19752x^199+8790x^200+9780x^201+10848x^202+12924x^203+5496x^204+5460x^205+4404x^206+5088x^207+1587x^208+1272x^209+1080x^210+900x^211+228x^212+132x^213+60x^214+48x^215+60x^216+15x^220+27x^224+6x^228+6x^232

The gray image is a linear code over GF(4) with n=260, k=9 and d=175.
This code was found by Heurico 1.16 in 235 seconds.