The generator matrix

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

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+56x^9+174x^10+136x^11+304x^12+144x^13+144x^14+40x^15+15x^16+8x^17+2x^18

The gray image is a code over GF(2) with n=48, k=10 and d=18.
This code was found by Heurico 1.11 in 0.00291 seconds.