The generator matrix

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

generates a code of length 29 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+122x^23+966x^24+3330x^25+7796x^26+15354x^27+23667x^28+27694x^29+25119x^30+15458x^31+7277x^32+3070x^33+906x^34+230x^35+55x^36+18x^37+3x^38+4x^39+2x^40

The gray image is a code over GF(2) with n=232, k=17 and d=92.
This code was found by Heurico 1.16 in 47.8 seconds.