The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  X  0 X+2  0  1 X+2  1  1  1 X+2 X+2  1  0  0  1  X  X X+2  1
 0  1  0  0  0  1  3  1  2  2  1 X+3  1  X  1  1  X  X X+1 X+1  0  1  1 X+3  0  1  2  1  1 X+2  0
 0  0  1  0  1  1  2  3 X+2  3 X+1  2  3  1  X  1 X+3  2 X+1  0  0 X+2  1  X  1  X X+2  2  0  1  0
 0  0  0  1  1  2  1  1  3  X  1 X+2  0  1 X+3  X X+2  1  2  2 X+2 X+1  1 X+3  3 X+1  0 X+1  X  X  0
 0  0  0  0  X  0  0  0  0  2  2  2  2  2  X  X  X  X  X X+2 X+2  0 X+2 X+2 X+2  2  2  X X+2  0  0

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+72x^24+264x^25+700x^26+838x^27+1484x^28+1734x^29+2001x^30+2046x^31+2290x^32+1686x^33+1464x^34+868x^35+546x^36+202x^37+121x^38+38x^39+23x^40+2x^41+2x^42+2x^43

The gray image is a code over GF(2) with n=124, k=14 and d=48.
This code was found by Heurico 1.16 in 3.98 seconds.