The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+6x^29+50x^30+18x^31+64x^32+38x^33+21x^34+322x^35+21x^36+322x^37+25x^38+38x^39+22x^40+18x^41+10x^42+6x^43+10x^44+20x^46+9x^48+1x^50+1x^52+1x^54

The gray image is a code over GF(2) with n=144, k=10 and d=58.
This code was found by Heurico 1.16 in 16.6 seconds.