The generator matrix

 1  0  0  1  1  1  0  1  1  X  0  1 X+2 X+2  1  1
 0  1  0  1  X X+3  1  0  X  0  1 X+1  1  1 X+2  0
 0  0  1  1  1  0 X+3  X X+1  1  X X+1  1  X  X  0
 0  0  0  X  0 X+2 X+2  X  X  X  X  0 X+2 X+2  X  0
 0  0  0  0  2  0  0  2  0  0  0  2  2  0  2  0
 0  0  0  0  0  2  0  0  2  2  2  0  0  0  2  2
 0  0  0  0  0  0  2  2  0  2  2  2  2  0  0  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+44x^10+186x^11+391x^12+1176x^13+1552x^14+3234x^15+3191x^16+3264x^17+1564x^18+1182x^19+376x^20+168x^21+40x^22+6x^23+8x^24+1x^28

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 1.05 seconds.