The generator matrix

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

generates a code of length 31 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+60x^23+146x^24+274x^25+539x^26+884x^27+1260x^28+1700x^29+2129x^30+2248x^31+2207x^32+1892x^33+1272x^34+852x^35+460x^36+212x^37+149x^38+52x^39+22x^40+18x^41+5x^42+1x^46+1x^54

The gray image is a code over GF(2) with n=124, k=14 and d=46.
This code was found by Heurico 1.16 in 4.96 seconds.