The generator matrix

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

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+179x^24+36x^25+476x^26+244x^27+1037x^28+1108x^29+2083x^30+1604x^31+2655x^32+1900x^33+2094x^34+924x^35+1133x^36+284x^37+428x^38+44x^39+109x^40+38x^42+5x^44+1x^46+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 5.07 seconds.