The generator matrix

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

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+100x^24+48x^25+224x^26+192x^27+337x^28+288x^29+288x^30+192x^31+245x^32+48x^33+64x^34+12x^36+6x^40+3x^44

The gray image is a code over GF(2) with n=116, k=11 and d=48.
This code was found by Heurico 1.16 in 0.088 seconds.