The generator matrix

 1  0  0  1  1  1  X  X  1  1  1  2  2 X+2  0  1  1  1  X  1  X  1  X  2  1  1  1  1  1
 0  1  0  0  1  1  1  1 X+1  X X+3  1  X  1  1  X X+3 X+3 X+2 X+2  X  1  1  1  X X+1  0  X X+2
 0  0  1 X+1 X+3  0  1  X X+3  1  X  1  1 X+1 X+2  X  3 X+3  1 X+3  1  2 X+3  2  1 X+2  X  2  0
 0  0  0  2  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  0  2  2  2  2  2  2  0  0  2
 0  0  0  0  2  0  0  0  2  0  0  0  2  2  2  0  2  2  0  0  2  2  0  0  2  2  2  0  2
 0  0  0  0  0  2  0  2  2  2  0  2  2  2  2  0  0  2  0  2  0  0  0  2  2  0  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+88x^24+420x^25+194x^26+668x^27+214x^28+936x^29+286x^30+680x^31+133x^32+292x^33+94x^34+60x^35+10x^36+16x^37+2x^38+2x^40

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 0.251 seconds.