The generator matrix

 1  0  0  1  1  1  0  1  1  1  0  1  2  0  1  1  1  2  0  1  0  0  2  1  1  1  1  1  1  0  0  1  1  0  0  2
 0  1  0  1  0  1  1  0  0  1  1  3  1  0  0  2  1  1  0  3  1  0  1  0  2  1  1  2  3  1  1  2  1  2  1  2
 0  0  1  1  1  0  1  0  1  1  2  0  3  1  0  1  1  1  1  0  0  1  2  0  1  1  2  3  3  2  2  0  2  1  3  1
 0  0  0  2  0  0  0  0  0  0  2  2  2  0  0  0  0  2  0  2  2  2  0  2  0  0  2  0  0  2  2  2  2  2  0  0
 0  0  0  0  2  0  0  0  0  0  2  2  0  2  0  0  0  0  2  0  0  2  2  0  0  2  0  2  2  2  2  2  0  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  2  2  0  2  2  2  2  2  2
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  2  2  2  2  2  0  2  2  0  2  2  0  2  2  2  2  2  0  2  2  0  0
 0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  0  0  0  2  0  2  0  2  2  0  0  0  2  0  2  2  2  2  0  0  2
 0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  2  0  2  2  0  2  0  0  0  0  2  2  0  2  2  0  2  2  2  0  2
 0  0  0  0  0  0  0  0  0  2  2  2  2  0  2  2  2  0  2  0  0  2  2  0  0  0  2  0  0  0  2  0  0  2  0  0

generates a code of length 36 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+101x^26+315x^28+595x^30+978x^32+1301x^34+1515x^36+1459x^38+984x^40+543x^42+281x^44+89x^46+20x^48+7x^50+1x^52+1x^54+1x^64

The gray image is a code over GF(2) with n=72, k=13 and d=26.
This code was found by Heurico 1.16 in 4.12 seconds.