The generator matrix

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

generates a code of length 29 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+388x^25+1187x^26+2070x^27+2872x^28+3414x^29+3053x^30+1860x^31+1007x^32+408x^33+61x^34+38x^35+8x^36+14x^37+3x^38

The gray image is a code over GF(2) with n=232, k=14 and d=100.
This code was found by Heurico 1.16 in 17.2 seconds.