The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  2  1  1  1  1  2  X  X  2  1  X  X  X  1
 0  X  0  X  0  0  X X+2  0  2  X X+2  0 X+2  2 X+2  X  X  X  0  X  X  2  X X+2 X+2  X  0 X+2  X X+2  0
 0  0  X  X  0 X+2  X  0  2  X  X  0  2 X+2  X  0  X X+2  X  2  0 X+2  X  X  2  0  X  X  0  X X+2  2
 0  0  0  2  0  0  0  2  2  2  0  0  2  2  0  2  2  2  2  0  0  2  2  2  0  2  0  0  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  0  2  2  0  2  0  0  2  0  2  2  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  2  2  0  2  0  0  0  0  2  2  2  0  2  0  0  0  2
 0  0  0  0  0  0  2  2  2  2  2  0  2  0  0  2  0  0  2  2  2  2  0  0  0  0  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+71x^26+24x^27+258x^28+56x^29+304x^30+176x^31+319x^32+176x^33+298x^34+56x^35+164x^36+24x^37+80x^38+24x^40+15x^42+2x^44

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 0.14 seconds.