The generator matrix

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

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+48x^12+184x^13+280x^14+410x^15+249x^16+376x^17+260x^18+164x^19+52x^20+16x^21+4x^22+2x^23+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 1.16 in 0.0258 seconds.