The generator matrix

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

generates a code of length 29 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+45x^24+32x^25+82x^26+160x^27+128x^28+128x^29+138x^30+160x^31+81x^32+32x^33+26x^34+6x^38+1x^40+4x^42

The gray image is a code over GF(2) with n=116, k=10 and d=48.
This code was found by Heurico 1.16 in 0.0265 seconds.