The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  1  1  1
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  0  0  0
 0  0  2  0  0  0  0  0  0  0  2  2  2  0  2  2
 0  0  0  2  0  0  0  0  0  2  2  2  0  0  2  0
 0  0  0  0  2  0  0  0  2  2  0  2  0  2  2  2
 0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0
 0  0  0  0  0  0  2  0  2  0  2  0  2  2  2  0
 0  0  0  0  0  0  0  2  2  2  2  0  2  0  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+44x^10+148x^12+980x^14+1757x^16+980x^18+132x^20+44x^22+10x^24

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 17.1 seconds.