The generator matrix

 1  0  1  1  1  2  1  1  1 X+2  1  1  1
 0  1  1  0 X+3  1 X+1  X  0  1  X X+1 X+3
 0  0  X  0 X+2  2  X  2 X+2 X+2  X  2  0
 0  0  0  X  0 X+2  X X+2  X X+2  0  2  X
 0  0  0  0  2  0  0  2  2  2  2  2  2

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+48x^9+114x^10+228x^11+409x^12+464x^13+385x^14+248x^15+101x^16+32x^17+12x^18+4x^19+1x^20+1x^22

The gray image is a code over GF(2) with n=52, k=11 and d=18.
This code was found by Heurico 1.16 in 0.0236 seconds.