The generator matrix

 1  0  0  1  1  1  0  1  2  X  1  1  1  1 X+2  X  0  0  1  1  X  1  1 X+2  2 X+2  1  0
 0  1  0  0  1  3  1  X  1  1 X+1  X X+1  1  0  X  1  1  2  X  1 X+3 X+1  2  1  1  1  1
 0  0  1 X+1 X+3  0 X+1  1  X  1  2  X X+1  X  1  1 X+3  3  3  2 X+2  3  0  1  2 X+1  1 X+2
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  2  2  0  0  2  2  2
 0  0  0  0  2  2  2  0  2  0  0  2  2  0  2  0  0  2  2  0  0  2  0  0  2  2  0  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+151x^24+176x^25+362x^26+252x^27+327x^28+176x^29+256x^30+120x^31+140x^32+32x^33+34x^34+12x^35+5x^36+4x^38

The gray image is a code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.16 in 0.0672 seconds.