The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 11.

Homogenous weight enumerator: w(x)=1x^0+182x^11+456x^12+1158x^13+1839x^14+2950x^15+3088x^16+3140x^17+1870x^18+1098x^19+390x^20+166x^21+35x^22+10x^23+1x^24

The gray image is a code over GF(2) with n=64, k=14 and d=22.
This code was found by Heurico 1.16 in 2.1 seconds.