The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 1 1 1 1 0 1 1 0 1
0 X 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 X+2 X X X X+2 X+2 X X X 2 X X
0 0 X 0 0 0 0 0 0 0 X X+2 X X+2 X+2 X X+2 0 2 2 2 0 X+2 2 X X X X+2 2 X+2 X X
0 0 0 X 0 0 0 X X+2 X X X 0 X+2 0 X+2 2 X 0 2 X X+2 2 2 0 X+2 X+2 X+2 X 0 0 X+2
0 0 0 0 X 0 X X X 2 0 0 2 X+2 X X+2 X X X+2 X 0 2 X 0 X 2 2 X+2 X 0 0 X
0 0 0 0 0 X X 2 X+2 X+2 0 X X X 0 2 X 0 X+2 0 X 2 0 X+2 2 0 X+2 X 0 0 X 2
0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 0 2 2 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+293x^24+690x^26+1029x^28+256x^29+2172x^30+1792x^31+3830x^32+1792x^33+2292x^34+256x^35+1108x^36+604x^38+194x^40+66x^42+7x^44+1x^48+1x^56
The gray image is a code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 37.1 seconds.