The generator matrix

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

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+144x^25+248x^26+540x^27+604x^28+972x^29+930x^30+1322x^31+983x^32+956x^33+598x^34+538x^35+164x^36+100x^37+46x^38+30x^39+8x^40+4x^41+2x^42+2x^43

The gray image is a code over GF(2) with n=124, k=13 and d=50.
This code was found by Heurico 1.16 in 2.44 seconds.