The generator matrix

 1  1  1  1  1  1  1  1  X  1  X  1  2
 0  X  0  0  0  X X+2  X X+2  0  2  X  2
 0  0  X  0  X  X  X  2  X  0 X+2  0  X
 0  0  0  X  X  2 X+2 X+2  X  0  X  X  X
 0  0  0  0  2  2  2  2  0  2  2  0  0

generates a code of length 13 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+34x^9+61x^10+132x^11+203x^12+180x^13+186x^14+136x^15+49x^16+26x^17+9x^18+4x^19+3x^20

The gray image is a code over GF(2) with n=52, k=10 and d=18.
This code was found by Heurico 1.16 in 0.00774 seconds.