The generator matrix

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

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+102x^10+120x^11+128x^12+48x^13+72x^14+24x^15+15x^16+2x^18

The gray image is a code over GF(2) with n=48, k=9 and d=20.
This code was found by Heurico 1.16 in 0.00177 seconds.