The generator matrix

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

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+148x^10+24x^11+640x^12+568x^13+2196x^14+2480x^15+4241x^16+2480x^17+2268x^18+568x^19+600x^20+24x^21+124x^22+22x^24

The gray image is a code over GF(2) with n=64, k=14 and d=20.
This code was found by Heurico 1.16 in 7.32 seconds.