The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  X  0  X  0  X  1  1  0  X  1  1
 0  X  0  0  0  X X+2  X  0  2  2  0  X X+2  X X+2 X+2  0  2  2 X+2  0  X  2  2  0  2  2 X+2  0  2
 0  0  X  0  X  X X+2  0  0  0 X+2 X+2  X  X  2  0  X  0  2  2  2  X  2  2  X  X  0  X  0  X  X
 0  0  0  X  X  0 X+2  X  2 X+2  X  2  2  X  X  2  0  2  X  2  0  0 X+2  X  2  0  0  2  0 X+2  2
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  2  2  2  0  2  2  0  2  2  2  2  0  2  2  0  0
 0  0  0  0  0  2  0  2  0  0  2  2  0  2  2  0  0  2  0  0  2  0  0  0  2  0  2  2  0  2  0
 0  0  0  0  0  0  2  2  2  2  0  0  2  0  0  0  0  2  2  0  0  2  0  2  0  2  0  2  0  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+63x^24+102x^25+150x^26+214x^27+267x^28+408x^29+556x^30+598x^31+550x^32+436x^33+253x^34+194x^35+127x^36+72x^37+61x^38+18x^39+14x^40+6x^41+1x^42+2x^44+3x^46

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 0.439 seconds.