The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  0  1  1  1 X+2  1  1  1 X+2  1  1  1  1  1  0 X+2  X  2  0
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  1 X+1 X+2  3  1  0 X+2  3  1  0  2 X+1  1  3  1  1  1  0  1
 0  0  2  0  0  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  2  2  0  2  2  2  2  0  0  2  0  2
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  0  2  0  2  2  0  2  2  2
 0  0  0  0  2  0  0  0  2  0  2  0  2  2  2  2  2  0  2  0  0  2  2  2  0  0  2  0  0  0  0  0
 0  0  0  0  0  2  0  2  2  0  2  0  2  0  2  2  0  2  0  2  2  0  0  0  2  0  0  2  0  0  0  2
 0  0  0  0  0  0  2  2  0  2  0  2  2  2  2  2  2  2  2  2  0  0  0  0  2  2  0  0  0  2  2  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+26x^26+96x^27+70x^28+280x^29+107x^30+392x^31+121x^32+400x^33+98x^34+272x^35+55x^36+88x^37+20x^38+8x^39+6x^40+4x^42+2x^44+1x^46+1x^52

The gray image is a code over GF(2) with n=128, k=11 and d=52.
This code was found by Heurico 1.16 in 0.0966 seconds.