The generator matrix

 1  1  1  1  1  1  1  1  X  X  X  1
 0  2  0  0  0  0  0  2  2  2  0  0
 0  0  2  0  0  0  2  2  2  2  2  0
 0  0  0  2  0  0  2  0  0  2  2  0
 0  0  0  0  2  0  2  0  2  2  0  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+16x^8+8x^9+10x^10+24x^11+140x^12+24x^13+12x^14+8x^15+3x^16+10x^18

The gray image is a code over GF(2) with n=48, k=8 and d=16.
This code was found by Heurico 1.16 in 0.000804 seconds.