The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  2  1  2  1  1  1  1
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  0  0
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0  0  0  2  2  0  0
 0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  0  0  0  0  0  0  0  0  0  0  2  2  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  0  0  0  2  2  2  2  0  0  0  0  0  0  2  2  0  2  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  0  2  2  0  0  2  2  0  2  0  0  2  2  2  0  0  0  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  0  2  2  0  2  2  0  2  0  2  0  2  0  2  2  0  2  2  0  0  0  0  0
 0  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  0  2  2  2  2  2  2  0  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  0  0  2  0  0  2  2  0  0  2  2  2  0  2  0  2  0  2  2  2  0  2  0  2  0
 0  0  0  0  0  0  0  0  0  2  0  0  0  2  0  2  2  0  2  0  2  0  0  2  2  0  2  0  0  2  0  0  2  2  2  0
 0  0  0  0  0  0  0  0  0  0  2  0  0  2  0  2  0  2  0  2  2  0  2  2  0  0  0  2  0  2  0  0  0  2  0  0
 0  0  0  0  0  0  0  0  0  0  0  2  0  2  2  0  0  2  2  0  2  2  0  2  0  2  2  2  0  2  2  2  2  0  2  0
 0  0  0  0  0  0  0  0  0  0  0  0  2  2  2  0  2  0  2  2  2  0  2  0  0  2  2  0  0  2  0  2  2  0  2  0

generates a code of length 36 over Z4 who´s minimum homogenous weight is 20.

Homogenous weight enumerator: w(x)=1x^0+33x^20+108x^22+220x^24+280x^26+438x^28+582x^30+1312x^32+3120x^34+4188x^36+3110x^38+1278x^40+616x^42+498x^44+290x^46+190x^48+80x^50+27x^52+6x^54+6x^56+1x^64

The gray image is a code over GF(2) with n=72, k=14 and d=20.
This code was found by Heurico 1.16 in 14.4 seconds.