The generator matrix

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

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+61x^24+24x^25+142x^26+80x^27+533x^28+232x^29+790x^30+352x^31+863x^32+232x^33+458x^34+80x^35+172x^36+24x^37+18x^38+27x^40+7x^44

The gray image is a code over GF(2) with n=124, k=12 and d=48.
This code was found by Heurico 1.16 in 0.321 seconds.