The generator matrix

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

generates a code of length 38 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+204x^97+660x^98+252x^99+1185x^100+1608x^101+3828x^102+1320x^103+4020x^104+4704x^105+9468x^106+4200x^107+8925x^108+10008x^109+18720x^110+8304x^111+16356x^112+16716x^113+27756x^114+12396x^115+19653x^116+17496x^117+25524x^118+8328x^119+12816x^120+9192x^121+10788x^122+2064x^123+2439x^124+1512x^125+1560x^126+57x^128+42x^132+24x^136+12x^140+6x^144

The gray image is a linear code over GF(4) with n=152, k=9 and d=97.
This code was found by Heurico 1.16 in 123 seconds.