The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+24x^10+28x^11+64x^12+76x^13+227x^14+408x^15+388x^16+408x^17+243x^18+76x^19+51x^20+28x^21+17x^22+7x^24+1x^26+1x^28

The gray image is a code over GF(2) with n=64, k=11 and d=20.
This code was found by Heurico 1.16 in 0.0262 seconds.