The generator matrix

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

generates a code of length 34 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+25x^24+65x^26+24x^27+155x^28+72x^29+272x^30+408x^31+329x^32+520x^33+376x^34+520x^35+335x^36+408x^37+236x^38+72x^39+149x^40+24x^41+61x^42+29x^44+12x^46+2x^50+1x^52

The gray image is a code over GF(2) with n=136, k=12 and d=48.
This code was found by Heurico 1.16 in 0.503 seconds.