The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  2
 0  0  2  0  0  0  0  0  0  0  0  2
 0  0  0  2  0  0  0  0  0  0  0  2
 0  0  0  0  2  0  0  0  0  0  0  2
 0  0  0  0  0  2  0  0  0  0  0  2
 0  0  0  0  0  0  2  0  0  0  0  2
 0  0  0  0  0  0  0  2  0  0  0  2
 0  0  0  0  0  0  0  0  2  0  0  2
 0  0  0  0  0  0  0  0  0  2  0  2
 0  0  0  0  0  0  0  0  0  0  2  2

generates a code of length 12 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 4.

Homogenous weight enumerator: w(x)=1x^0+66x^4+495x^8+7068x^12+495x^16+66x^20+1x^24

The gray image is a code over GF(2) with n=48, k=13 and d=8.
This code was found by Heurico 1.16 in 0.0895 seconds.