The generator matrix

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

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+38x^10+40x^11+106x^12+244x^13+476x^14+740x^15+811x^16+744x^17+472x^18+240x^19+102x^20+36x^21+36x^22+4x^23+4x^24+2x^26

The gray image is a code over GF(2) with n=64, k=12 and d=20.
This code was found by Heurico 1.16 in 0.0683 seconds.