The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+57x^10+32x^11+77x^12+32x^13+54x^14+1x^16+1x^18+1x^20

The gray image is a code over GF(2) with n=48, k=8 and d=20.
This code was found by Heurico 1.16 in 0.00176 seconds.