The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+193x^26+630x^28+1292x^30+1885x^32+2603x^34+3009x^36+2762x^38+2112x^40+1156x^42+496x^44+176x^46+58x^48+7x^50+1x^52+2x^54+1x^58

The gray image is a code over GF(2) with n=72, k=14 and d=26.
This code was found by Heurico 1.16 in 29 seconds.