The generator matrix

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

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+72x^24+150x^26+325x^28+258x^30+151x^32+26x^34+26x^36+14x^38+1x^44

The gray image is a code over GF(2) with n=116, k=10 and d=48.
This code was found by Heurico 1.16 in 0.037 seconds.