The generator matrix

 1  0  0  0  1  1  1  2  1  2  1 X+2  1  1  0 X+2
 0  1  0  0  0  1  1  1 X+3  1  2  X  3  X X+2  0
 0  0  1  0  1  1  X X+1  X X+3  0  1  0 X+3  1 X+2
 0  0  0  1  1  0 X+1  1  X  2 X+3  3 X+3  1 X+2  1
 0  0  0  0  X  2  0  2  X  X X+2  0  X  0  2 X+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+196x^11+501x^12+974x^13+1971x^14+2920x^15+3249x^16+2916x^17+1998x^18+1020x^19+437x^20+158x^21+31x^22+8x^23+4x^24

The gray image is a code over GF(2) with n=64, k=14 and d=22.
This code was found by Heurico 1.13 in 0.577 seconds.