The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+336x^190+1068x^191+834x^192+756x^193+1200x^194+4056x^195+2763x^196+2232x^197+3252x^198+8028x^199+5175x^200+4392x^201+6360x^202+12612x^203+8415x^204+6468x^205+9360x^206+18516x^207+10980x^208+9060x^209+11976x^210+21984x^211+12801x^212+9432x^213+11448x^214+19992x^215+10554x^216+6672x^217+7800x^218+12468x^219+5733x^220+3108x^221+3024x^222+4584x^223+1872x^224+816x^225+504x^226+1104x^227+165x^228+72x^229+36x^230+36x^231+39x^232+18x^236+27x^240+9x^244+6x^248

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.