The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  2  X  0  1  X  1  1  1 X+2  1  0  0  X  1  1  1  1
 0  1  0  0  2  1  3  1 X+2  X  3 X+3  1  1 X+2 X+1  1  0 X+2 X+1  1 X+3  0  1  2 X+1  X X+3  0
 0  0  1  0  3  1  2  3  0  1 X+2 X+1  X  1  1  2 X+1  X X+3  X  X  0  1 X+2  1 X+1 X+3  3  2
 0  0  0  1  1  2  3  3 X+1  0 X+2  3  1  X X+1  0 X+1 X+3  X  2  X X+2 X+2  0 X+1 X+1  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+81x^24+318x^25+393x^26+504x^27+528x^28+608x^29+457x^30+426x^31+332x^32+254x^33+111x^34+60x^35+10x^36+4x^37+7x^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 0.232 seconds.