The generator matrix

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

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+53x^10+44x^11+88x^12+8x^13+42x^14+12x^15+7x^16+1x^18

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 0.000849 seconds.