The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  1  X
 0 2X+2  0  0 2X 2X+2 2X+2  2  0 2X  0  2  2  2  2 2X  2 2X 2X+2  2 2X+2 2X+2  0  0 2X 2X+2 2X+2  0 2X
 0  0 2X+2  0 2X+2 2X+2  2 2X  0  2  2  0 2X  2 2X 2X 2X+2 2X+2 2X 2X+2 2X 2X+2 2X  2  2  0  0  0  0
 0  0  0 2X+2  2 2X  2  2 2X 2X  2  2 2X+2 2X 2X  2 2X+2 2X  0  0 2X+2 2X+2 2X+2 2X+2  2  2 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+22x^25+58x^26+62x^27+72x^28+616x^29+84x^30+44x^31+19x^32+14x^33+17x^34+6x^35+4x^36+4x^37+1x^50

The gray image is a code over GF(2) with n=232, k=10 and d=100.
This code was found by Heurico 1.16 in 0.015 seconds.