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

generates a code of length 70 over F4[X]/(X^2) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+468x^190+660x^191+516x^192+780x^193+3012x^194+3096x^195+1449x^196+2100x^197+6948x^198+6708x^199+3258x^200+3216x^201+11592x^202+10872x^203+4584x^204+5280x^205+16776x^206+15264x^207+6507x^208+8112x^209+21852x^210+18012x^211+8055x^212+8316x^213+21732x^214+16920x^215+6144x^216+5856x^217+14352x^218+9840x^219+3069x^220+2568x^221+6204x^222+3900x^223+966x^224+564x^225+1416x^226+708x^227+177x^228+72x^229+96x^230+36x^231+33x^232+24x^236+6x^240+15x^244+9x^248+3x^252

The gray image is a linear code over GF(4) with n=280, k=9 and d=190.
This code was found by Heurico 1.16 in 293 seconds.