The generator matrix

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

generates a code of length 16 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+62x^12+160x^13+216x^14+440x^15+341x^16+384x^17+212x^18+152x^19+58x^20+16x^21+4x^22+2x^24

The gray image is a code over GF(2) with n=64, k=11 and d=24.
This code was found by Heurico 1.11 in 2.42 seconds.