The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1  1
 0  1 X+1 X+2  1  1  0 X+1  1  3 X+1 X+1
 0  0  2  0  0  0  2  2  0  0  2  0
 0  0  0  2  0  0  2  0  0  2  2  0
 0  0  0  0  2  0  2  2  2  2  2  0
 0  0  0  0  0  2  2  0  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+28x^8+16x^9+158x^10+176x^11+268x^12+176x^13+156x^14+16x^15+23x^16+6x^18

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 0.00375 seconds.