The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+24x^8+78x^9+111x^10+236x^11+116x^12+256x^13+107x^14+68x^15+19x^16+2x^17+5x^18+1x^22

The gray image is a code over GF(2) with n=48, k=10 and d=16.
This code was found by Heurico 1.16 in 0.0045 seconds.