The generator matrix

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

generates a code of length 9 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+156x^15+285x^16+960x^18+1872x^19+1113x^20+3456x^21+8640x^22+8424x^23+19686x^24+20736x^25+25920x^26+44496x^27+53490x^28+31104x^29+25920x^30+12636x^31+3180x^32+69x^36

The gray image is a linear code over GF(4) with n=36, k=9 and d=15.
This code was found by Heurico 1.16 in 4.45 seconds.