The generator matrix

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

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+36x^11+97x^12+104x^13+128x^14+380x^15+573x^16+368x^17+128x^18+92x^19+94x^20+40x^21+4x^23+2x^24+1x^28

The gray image is a code over GF(2) with n=64, k=11 and d=22.
This code was found by Heurico 1.16 in 0.0375 seconds.