The generator matrix

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

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+55x^8+32x^9+128x^10+224x^11+144x^12+224x^13+128x^14+32x^15+55x^16+1x^24

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 0.00434 seconds.