The generator matrix

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

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+107x^26+96x^27+270x^28+352x^29+423x^30+560x^31+467x^32+608x^33+456x^34+352x^35+188x^36+64x^37+96x^38+16x^39+28x^40+5x^42+6x^44+1x^46

The gray image is a code over GF(2) with n=128, k=12 and d=52.
This code was found by Heurico 1.16 in 0.392 seconds.