The generator matrix

 1  0  0  1  1  1  0  1  1  2  2  0  1  X  1  X  1 X+2  1  1  1  1  1  1  1  1  1  1  2  X X+2  1
 0  1  0  0  1  1  1  2  0  X  1  1 X+1  X  1  1  X  1 X+2 X+3 X+1  X  1  X  X X+2  3 X+3  1  1  0 X+1
 0  0  1 X+1 X+3  0 X+1  X  3  1  1 X+2 X+1  1  X  1  3 X+3  0 X+1  0  X  1 X+2  3  1 X+2  1 X+2 X+2  1  X
 0  0  0  2  0  0  0  0  2  0  2  2  2  2  0  0  2  2  2  0  0  0  0  0  2  0  2  2  0  2  0  2
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  2  2  0  2  2  2  0  0
 0  0  0  0  0  2  0  2  2  2  2  2  0  0  2  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  0
 0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  0  2  0  0  2  2  2  2  2  2  2  0  2  0  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+146x^26+248x^27+561x^28+696x^29+818x^30+1088x^31+1099x^32+1136x^33+808x^34+696x^35+478x^36+216x^37+132x^38+16x^39+36x^40+14x^42+1x^44+2x^46

The gray image is a code over GF(2) with n=128, k=13 and d=52.
This code was found by Heurico 1.16 in 3.24 seconds.