The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  X  X  0  1  2  1  1  1  2
 0  X  0  0  0  X X+2  X  2  2  0  0  X  X  X X+2  0  0  X  X  X X+2  2 X+2  2  0  2  2  X
 0  0  X  0  X  X  X  0  2  0  X X+2 X+2  0 X+2  0  2 X+2  0  2  0 X+2  2  2  X  X  X  X  0
 0  0  0  X  X  0  X X+2  0  X  X  2  2 X+2  X  0  2  X  X X+2 X+2  X  X  0 X+2  0  0  2 X+2
 0  0  0  0  2  0  0  0  2  2  2  0  2  2  0  2  2  0  2  2  2  2  2  2  2  2  0  0  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  0  2  0  2  2  2  0  2  2  2  2  0  2  0  0  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+192x^24+24x^25+198x^26+128x^27+419x^28+208x^29+334x^30+128x^31+233x^32+24x^33+98x^34+44x^36+10x^38+6x^40+1x^44

The gray image is a code over GF(2) with n=116, k=11 and d=48.
This code was found by Heurico 1.16 in 0.634 seconds.