The generator matrix

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

generates a code of length 40 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 103.

Homogenous weight enumerator: w(x)=1x^0+252x^103+549x^104+600x^105+1068x^106+2088x^107+3048x^108+2412x^109+3360x^110+6420x^111+8376x^112+5928x^113+7704x^114+11976x^115+15816x^116+10656x^117+13824x^118+18372x^119+24009x^120+14232x^121+15900x^122+21048x^123+21714x^124+11100x^125+10944x^126+11244x^127+9360x^128+3912x^129+2496x^130+2328x^131+1002x^132+312x^133+33x^136+21x^140+21x^144+12x^148+3x^152+3x^156

The gray image is a linear code over GF(4) with n=160, k=9 and d=103.
This code was found by Heurico 1.16 in 135 seconds.