The generator matrix

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

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+18x^10+46x^11+27x^12+4x^13+13x^14+14x^15+4x^16+1x^18

The gray image is a code over GF(2) with n=48, k=7 and d=20.
This code was found by Heurico 1.16 in 0.000507 seconds.