The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+232x^30+123x^32+112x^34+40x^38+4x^40

The gray image is a code over GF(2) with n=128, k=9 and d=60.
This code was found by Heurico 1.16 in 64.5 seconds.