The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1 X+2  2  1  1  1  1  1  1 X+2  1  X  1 X+2  2  1  1 X+2  1
 0  1  1  0 X+3  1  X X+3  1  0 X+1  1  1 X+3  X  1  2  0 X+1  1  2  1 X+1  1  1  2  X  1 X+1
 0  0  X  0 X+2  2  0  0 X+2 X+2  X X+2  2  2  2  X X+2 X+2  0  X  2  2  X  X  2  2  0  2  X
 0  0  0  X  0  2 X+2  X  2 X+2  X  X X+2  2 X+2 X+2  2  X  2  2 X+2  X  2  2  X  0 X+2  0  X
 0  0  0  0  2  2  2  2  0  2  0  2  0  0  2  2  2  0  2  2  0  0  0  0  2  2  0  2  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+41x^24+156x^25+144x^26+310x^27+205x^28+372x^29+211x^30+296x^31+121x^32+124x^33+22x^34+14x^35+13x^36+4x^37+7x^38+4x^39+3x^40

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 0.0847 seconds.