The generator matrix

 1  0  0  1  1  1  X  1  1  1  1 X+2  0  X X+2  1 X+2  1  2  1  1  2  1  2  2 X+2  1 X+2  1  1 X+2  1
 0  1  0  1 X+2 X+3  1  0  0 X+1 X+1  1  1  X  0 X+1  1  3  1  X  X  1  1  X  1  1  2 X+2 X+2 X+1  1  0
 0  0  1  1 X+3 X+2  1 X+2 X+1 X+1  0  0 X+1  1  1  0 X+1  3  X  1  X  3  3  1  X X+1  1  1  1  2 X+1  0
 0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  0  2  2  2  0  0  2  2  0  2  0  2  0  0  2  0  0
 0  0  0  0  2  0  0  0  2  0  2  2  2  2  0  2  2  2  0  0  0  2  0  2  2  0  0  0  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  2  0  0  0  2  2  2  2  0  0  2  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  0  2  0  0  2  2  2  0  0  2  2  0  0  2  2  0  0
 0  0  0  0  0  0  0  2  2  2  0  0  2  0  0  2  2  0  2  2  0  2  2  0  2  2  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+52x^24+140x^25+197x^26+696x^27+728x^28+1628x^29+1255x^30+2592x^31+1633x^32+2748x^33+1404x^34+1688x^35+606x^36+580x^37+192x^38+144x^39+50x^40+24x^41+23x^42+2x^44+1x^46

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 4.39 seconds.