The generator matrix

 1  0  1  1  1  0  1  1  X  1 X+2  1  1  1  0  1  1  1 X+2  X  1  2  1  1  1  1  1  2  1  1  1  1
 0  1  1  0 X+1  1  X X+3  1  3  1 X+2  2 X+3  1 X+1  0  X  1  1  3  1 X+2  1  1  X X+3  1 X+1 X+3 X+1  0
 0  0  X X+2  0 X+2  X X+2  X  0  2  0  X X+2  2  0  0  X  2  X  2  X  0 X+2 X+2 X+2  X X+2  0 X+2  X  0
 0  0  0  2  0  0  0  0  0  2  2  2  0  2  2  2  2  0  2  0  2  0  0  0  2  0  0  2  0  2  2  0
 0  0  0  0  2  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  0  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  2  0  0  2  0  2  2  2  0  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0
 0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  2  2  2  0  2  0  2  2  0  0  0  0  0  2  2  2  0
 0  0  0  0  0  0  0  2  2  0  0  2  2  0  2  0  2  0  2  2  0  2  2  0  0  0  2  2  2  2  0  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+49x^24+44x^25+122x^26+268x^27+389x^28+664x^29+893x^30+1084x^31+1209x^32+1072x^33+888x^34+644x^35+374x^36+264x^37+118x^38+52x^39+21x^40+4x^41+22x^42+5x^44+5x^46

The gray image is a code over GF(2) with n=128, k=13 and d=48.
This code was found by Heurico 1.16 in 1.32 seconds.