The generator matrix

 1  0  0  0  1  1  1  2  0  1  1  1  1  2 X+2  1  1 X+2  2  0  2  1  1  X X+2  1  X  1  1  1  1
 0  1  0  0  0  1  1  1  1 X+2  X X+3 X+1  X  1  3  0  2  1 X+2  2  2  0  1  1  0  1  3 X+3  1  0
 0  0  1  0  1  1  0  3 X+1  2  3 X+1 X+2  1  2  3  X  1  1 X+2  X X+1  0 X+1 X+3 X+1  1  0 X+1  1  0
 0  0  0  1  1  0  1  1  2 X+1 X+2  1  0 X+1  1 X+1 X+2 X+1 X+1  1  1  0 X+1  2  3 X+1 X+2  1 X+3 X+2  0
 0  0  0  0  2  0  2  0  0  0  2  0  2  2  0  2  0  0  0  2  2  2  2  0  2  0  2  2  2  0  0
 0  0  0  0  0  2  2  2  2  0  0  2  2  2  2  2  2  2  0  0  2  2  2  0  2  2  2  0  0  2  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+71x^24+360x^25+526x^26+1022x^27+1204x^28+1936x^29+1784x^30+2472x^31+1863x^32+2150x^33+1112x^34+974x^35+482x^36+252x^37+96x^38+44x^39+25x^40+6x^41+2x^42+2x^44

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 3.93 seconds.