The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  X  0  1  1  1  1 X+2  2  1  1  2  1  1  1  1  2  1  1  X  X  1
 0  1  1  0 X+3  1  X X+3  1  1 X+2  1  1  2 X+1  0 X+1  1  1 X+3 X+2  1 X+3 X+3  1  X  1  X X+3  0  0 X+1
 0  0  X  0 X+2  0  0  2  2  0  0  2  0  X  0  X X+2  X X+2  X  X  X  2 X+2 X+2  0  X  2  2  X  0  0
 0  0  0  X  0  0 X+2 X+2 X+2  X  2 X+2  2  2  2 X+2  X X+2  0  0 X+2  X  0 X+2 X+2  X X+2 X+2  0  X X+2  2
 0  0  0  0  2  0  2  0  0  2  0  2  2  0  2  2  0  2  2  0  0  0  2  2  0  0  0  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  2  0  0  2  2  2  2  2  0  2  0  2  2  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+80x^26+126x^27+218x^28+368x^29+530x^30+566x^31+443x^32+530x^33+466x^34+308x^35+212x^36+116x^37+70x^38+22x^39+20x^40+10x^41+6x^42+2x^43+2x^44

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 0.357 seconds.