The generator matrix

 1  0  0  1  1  1  2  0  1  1  2  1 X+2  1  1 X+2  1  1  0  X  1  0  0 X+2  1  1  X  1  1  1  2 X+2
 0  1  0  0  3  3  1 X+2  2  1  1  X  1 X+1 X+2 X+2 X+2 X+3  1  1 X+3  1  2  2  0 X+3  X  1  X X+1  X  1
 0  0  1 X+1 X+3  2 X+3  1  X  3  1  1  0  2 X+1  1  X X+2  0  3  0 X+2  1  1 X+2  3  1  2  1  0  X X+1
 0  0  0  2  2  0  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  2  0  0  2  2  2  2  0  2  0

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+220x^29+106x^30+212x^31+89x^32+176x^33+28x^34+72x^35+4x^36+76x^37+26x^38+4x^39+2x^40+8x^41

The gray image is a code over GF(2) with n=128, k=10 and d=58.
This code was found by Heurico 1.16 in 34 seconds.