The generator matrix

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

generates a code of length 29 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+105x^26+174x^28+128x^30+77x^32+22x^34+2x^36+2x^40+1x^42

The gray image is a code over GF(2) with n=116, k=9 and d=52.
This code was found by Heurico 1.16 in 0.0127 seconds.