The generator matrix

 1  0  0  1  1  1  0  1  1  2  0 X+2  1  1  1  0  1  1  1  X  X  1  X  0  X X+2  0  1  1  1  X
 0  1  0  1  X X+3  1  0 X+2  1  1  X  1 X+1  2  1  3 X+2 X+3  X  1  3  1  0  X  1  1 X+1 X+2  1  X
 0  0  1  1  1  0 X+3  X X+3  X  1  1  1  0  0 X+1 X+1  0 X+2  1 X+1 X+3 X+2  1  2  X X+3  1  X  2  0
 0  0  0  X  0 X+2 X+2  X  X X+2  2  X  0  0 X+2  2  0  2  0  2  X X+2  X  0  X  2  2  2 X+2 X+2  0
 0  0  0  0  2  0  0  2  0  2  2  2  2  2  2  0  2  2  2  2  0  2  0  2  2  2  0  0  0  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  0  2  2  2  0  2  2  2  0  2  2  0  0  2
 0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  2  0  2  0  0  0  2  2  2  2  2  0  2  2  0  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+156x^24+232x^25+574x^26+904x^27+1388x^28+1768x^29+1980x^30+2312x^31+2029x^32+1912x^33+1332x^34+856x^35+555x^36+184x^37+140x^38+24x^39+30x^40+6x^42+1x^52

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 4.42 seconds.