The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  0  0  2  2  0  0  2
 0  0  2  0  0  0  0  0  2  2  2  0  0  2  2  0  2  2  0  0  0  0  2  2  0  2  0  2  0  2  2  2
 0  0  0  2  0  0  0  2  0  2  0  2  0  2  2  0  0  2  2  0  0  2  2  0  0  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  2  0  0  2  2  0  2  0  2  2  2  0  2  2  2  2  0  0  2  2  0  0  2  2  2
 0  0  0  0  0  2  0  2  2  0  2  0  2  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  2  2  0  0  2  2  0  2  0  2  2  0  0  2  0  2  0  2  2  0  0  0  0  2  2

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+15x^26+24x^28+24x^30+96x^31+271x^32+8x^34+32x^35+16x^36+16x^38+8x^40+1x^58

The gray image is a code over GF(2) with n=128, k=9 and d=52.
This code was found by Heurico 1.16 in 0.0195 seconds.