The generator matrix

 1  0  1  1  1  2  1  1  0  1  1  0  X  1  1  1 X+2  1  1  1  1  1 X+2  1 X+2  0  1  1
 0  1  1  0 X+1  1  1  0  1  2 X+1  1  1  3 X+2  X  1  1 X+2 X+3  0 X+2  1 X+1  1  X X+2  0
 0  0  X  0  0  2  0 X+2 X+2 X+2 X+2 X+2  2  2  0  2 X+2  X  X  0  0 X+2  2  X  X  X  X  0
 0  0  0  X  2  X X+2 X+2 X+2  2  X  2 X+2  2  0  X  2 X+2  X X+2  2  2  2  2 X+2 X+2  X  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+84x^24+132x^25+112x^26+160x^27+120x^28+104x^29+132x^30+80x^31+43x^32+20x^33+8x^34+16x^35+8x^36+4x^38

The gray image is a code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0248 seconds.