The generator matrix

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

generates a code of length 40 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+123x^104+144x^105+48x^106+588x^107+891x^108+960x^109+204x^110+1896x^111+2451x^112+1788x^113+480x^114+3600x^115+4902x^116+3444x^117+744x^118+5424x^119+7485x^120+3912x^121+768x^122+5964x^123+6984x^124+3720x^125+684x^126+3528x^127+2496x^128+1260x^129+144x^130+504x^131+150x^132+132x^133+60x^136+21x^140+24x^144+12x^148

The gray image is a linear code over GF(4) with n=160, k=8 and d=104.
This code was found by Heurico 1.16 in 11 seconds.