The generator matrix

 1  0  1  1  1 3X+2  1  1  0  1  1 3X+2  1 2X  1  0 X+2  1  1  1  1 3X+2  1  1  1  1  2  0  1
 0  1 X+1 3X+2  3  1 3X+1  0  1 2X+1 3X+2  1 2X+2  1 2X+3  1  1 3X+3 2X X+2 2X+3  1  0 X+3 X+3 3X+2  1  X 2X
 0  0  2  0  0 2X  0  2 2X+2 2X+2  2 2X+2 2X+2 2X  0  2 2X 2X 2X+2  0 2X+2 2X+2 2X  0 2X+2  2 2X+2  2 2X
 0  0  0 2X+2 2X  2  2 2X+2 2X+2  2 2X 2X 2X+2 2X+2  2  0  0 2X  0  0 2X 2X+2 2X+2 2X+2  2  2  0 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+62x^25+274x^26+574x^27+789x^28+814x^29+700x^30+524x^31+253x^32+58x^33+22x^34+6x^35+5x^36+10x^37+4x^38

The gray image is a code over GF(2) with n=232, k=12 and d=100.
This code was found by Heurico 1.16 in 0.078 seconds.