The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+49x^24+16x^25+76x^26+96x^27+306x^28+256x^29+498x^30+400x^31+713x^32+400x^33+506x^34+256x^35+283x^36+96x^37+70x^38+16x^39+43x^40+2x^42+10x^44+2x^48+1x^52

The gray image is a code over GF(2) with n=128, k=12 and d=48.
This code was found by Heurico 1.16 in 0.322 seconds.