The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  0  1  1  1  1  X  1  1  0  1  X
 0  X  0 X+2  0 X+2  0 X+2  2 X+2  0 X+2  0 X+2 X+2  0 X+2  2  X  0  2  X X+2 X+2  X  X  X  2  0
 0  0  2  0  0  0  0  0  2  0  0  0  2  0  2  2  2  0  0  2  0  2  2  2  0  2  2  2  2
 0  0  0  2  0  0  0  2  0  0  0  2  0  2  2  2  0  2  0  2  0  0  2  0  0  2  2  2  0
 0  0  0  0  2  0  0  0  0  2  2  2  0  0  2  2  0  2  2  0  0  0  2  2  2  0  2  2  2
 0  0  0  0  0  2  0  2  0  2  2  0  2  2  2  2  0  0  0  0  2  0  0  2  0  0  2  2  0
 0  0  0  0  0  0  2  0  2  0  2  2  0  2  0  2  2  2  0  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+87x^24+64x^26+128x^27+112x^28+256x^29+96x^30+128x^31+94x^32+32x^34+16x^36+9x^40+1x^48

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 0.039 seconds.