The generator matrix

 1  0  0  1  1  1 X+2  1  1 X+2  1  2  2  1  1  0  X  1  X  2  1  1  1  1  0  1  1  1  X  1  X  0
 0  1  0  0  1 X+1  1  2 X+1 X+2  3  1  1  2  2 X+2  1 X+3  X  1  1  3  1  0  1 X+2  X X+2  1 X+2  X  0
 0  0  1  1  1  0  1 X+2  X  1 X+3  3  0 X+1 X+1  1  2  1  1  3  2  1 X+1  2  X  2  1 X+2  3  X  1  0
 0  0  0  X X+2  0  X X+2 X+2  X  2  0  X  X  2 X+2  0  2  0  X  0  0  X  X  2  X  0  X  2  0  X  X
 0  0  0  0  2  0  2  0  0  0  2  2  0  0  0  0  0  2  2  0  2  0  2  2  0  2  0  2  0  2  2  2
 0  0  0  0  0  2  0  0  2  0  0  0  0  2  2  2  0  2  2  2  2  2  2  0  2  0  0  0  0  0  0  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+198x^26+236x^27+581x^28+600x^29+985x^30+940x^31+1099x^32+992x^33+966x^34+596x^35+595x^36+200x^37+146x^38+20x^39+27x^40+8x^42+1x^46+1x^48

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 1.32 seconds.