The generator matrix

 1  0  1  1  1  2  1  0  1  1  2  1  2  1  0  1  1  1  1  1 X+2 X+2  1  2  1 X+2  1  1  X
 0  1  1  0  1  1  2  1  0 X+1  1 X+1  1  2  1  3 X+3  1  0 X+2  1  1  X  1  0  1 X+1  2 X+2
 0  0  X  0  0  0  0  0  0  2  2  X  X X+2 X+2 X+2  2  X  X  X X+2  X  2 X+2 X+2 X+2  0  2  0
 0  0  0  X  0  0  2 X+2 X+2  0 X+2  2  2  2 X+2 X+2 X+2 X+2 X+2 X+2  0  0 X+2  X  2  0 X+2 X+2  0
 0  0  0  0  X X+2 X+2  X X+2  0  2 X+2  0  2 X+2  0  0  X X+2  2  X X+2  2  0 X+2 X+2  X  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+269x^24+96x^25+426x^26+256x^27+908x^28+320x^29+726x^30+256x^31+541x^32+96x^33+118x^34+68x^36+10x^38+5x^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 52 seconds.