The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  0  2  2  2
 0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  2  0  2  0
 0  0  0  2  0  0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  0  0  2  2  0  0  0  0  0  0  2  2
 0  0  0  0  2  0  0  0  0  0  0  2  0  2  2  0  2  2  0  0  0  2  2  0  0  2  0  2  0  2  0  2
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  2  2  2  0  2  0  0  2  0  0  2  0  0  2  2  0  2  2
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  2  2  0  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0
 0  0  0  0  0  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  0  0  2  2  2  2  2  2  0  0  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  0  0  2  0  2  2  0  0  2  0  2  0  2  2  0  0
 0  0  0  0  0  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  2  0  0  2  2  0  2  0  0  0  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+184x^24+224x^28+3278x^32+224x^36+184x^40+1x^64

The gray image is a code over GF(2) with n=128, k=12 and d=48.
This code was found by Heurico 1.16 in 11.8 seconds.