The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+24x^9+92x^10+184x^11+412x^12+908x^13+1940x^14+2976x^15+3285x^16+2980x^17+1988x^18+920x^19+380x^20+180x^21+76x^22+16x^23+18x^24+4x^25

The gray image is a code over GF(2) with n=64, k=14 and d=18.
This code was found by Heurico 1.16 in 0.779 seconds.