The generator matrix

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

generates a code of length 13 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+84x^25+228x^27+660x^28+924x^29+864x^30+2736x^31+2655x^32+6600x^33+7776x^34+12312x^35+15378x^36+27960x^37+23328x^38+33840x^39+33012x^40+39972x^41+23328x^42+18468x^43+7560x^44+4332x^45+108x^48+18x^52

The gray image is a linear code over GF(4) with n=52, k=9 and d=25.
This code was found by Heurico 1.16 in 18.1 seconds.