The generator matrix

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

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+63x^24+134x^25+290x^26+546x^27+711x^28+1222x^29+1754x^30+2152x^31+2563x^32+2278x^33+1721x^34+1264x^35+771x^36+426x^37+249x^38+128x^39+48x^40+36x^41+17x^42+6x^43+2x^44+1x^46+1x^48

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 5.59 seconds.