The generator matrix

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

generates a code of length 28 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+160x^24+196x^25+332x^26+196x^27+344x^28+212x^29+296x^30+132x^31+93x^32+24x^33+40x^34+8x^35+8x^36+4x^38+2x^40

The gray image is a code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.11 in 0.0322 seconds.