The generator matrix

 1  0  0  1  1  1  X  1  1  X  1  1  X  1  1  X  1 X+2 X+2  X X+2  1  0  1  1  1  0  2  1 X+2  1  1
 0  1  0  0  1  1  1  2  0  X  3 X+1  1  X X+1  1 X+2  1  0  1  1 X+2  1  2 X+1 X+3  X  1  1  1  X  X
 0  0  1 X+1 X+3  0  1  X  3  1 X+2 X+1 X+2  3  3  3  3 X+3  1  0 X+2  2 X+3  1 X+1  3  1  0 X+3  2  0  1
 0  0  0  2  0  0  0  0  2  0  0  0  0  2  0  0  2  2  2  2  0  2  2  0  2  0  2  2  2  0  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  2  0  2  2  2  2  2  2  0  2  0  0  2  0  0  2
 0  0  0  0  0  2  0  2  2  2  0  2  2  0  0  0  2  2  2  0  0  0  0  0  2  2  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 27.

Homogenous weight enumerator: w(x)=1x^0+136x^27+364x^28+372x^29+356x^30+536x^31+647x^32+524x^33+376x^34+328x^35+232x^36+124x^37+36x^38+24x^39+32x^40+4x^41+4x^44

The gray image is a code over GF(2) with n=128, k=12 and d=54.
This code was found by Heurico 1.16 in 58.6 seconds.