The generator matrix

 1  0  0  1  1  1  2  1  1 X+2  X  1  1  0  1  X  1  1  1  X  1  1 X+2  0  2  0  0 X+2 X+2
 0  1  0  0  1 X+1  1  1  X  X  1  X  1  1 X+1  1  1  3  X  2 X+2  0  1  1 X+2  1  0  1  1
 0  0  1  1  1  0 X+1  X X+3  1 X+2 X+2  1 X+3  0  1 X+3  2  0  1  3 X+1 X+1 X+2  1 X+2  1 X+2  2
 0  0  0  X X+2  2  X  2  X  X  X X+2  0  2  X  0  X X+2  0  2  0 X+2 X+2  X  0 X+2  0  2  0
 0  0  0  0  2  0  2  2  2  0  0  0  2  2  2  0  0  0  2  0  0  0  0  2  2  2  2  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+110x^24+268x^25+390x^26+532x^27+541x^28+530x^29+529x^30+442x^31+351x^32+216x^33+96x^34+48x^35+21x^36+10x^37+9x^38+2x^39

The gray image is a code over GF(2) with n=116, k=12 and d=48.
This code was found by Heurico 1.16 in 0.259 seconds.