The generator matrix

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

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+589x^24+1248x^26+2380x^28+1984x^30+1537x^32+352x^34+92x^36+9x^40

The gray image is a code over GF(2) with n=116, k=13 and d=48.
This code was found by Heurico 1.16 in 41.4 seconds.