The generator matrix

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

generates a code of length 29 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+99x^24+322x^25+352x^26+496x^27+530x^28+622x^29+488x^30+424x^31+338x^32+230x^33+92x^34+72x^35+16x^36+10x^37+4x^38

The gray image is a code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.11 in 0.111 seconds.