The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+146x^24+16x^25+418x^26+176x^27+1359x^28+656x^29+2496x^30+1200x^31+3407x^32+1200x^33+2596x^34+656x^35+1339x^36+176x^37+368x^38+16x^39+126x^40+10x^42+21x^44+1x^52

The gray image is a code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 5.05 seconds.