The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+126x^25+252x^26+620x^27+555x^28+1074x^29+460x^30+646x^31+238x^32+76x^33+24x^34+10x^35+5x^36+2x^37+2x^39+1x^40+2x^41+2x^43

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 0.204 seconds.