The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+204x^28+304x^30+561x^32+560x^34+788x^36+672x^38+560x^40+240x^42+156x^44+16x^46+30x^48+4x^52

The gray image is a code over GF(2) with n=72, k=12 and d=28.
This code was found by Heurico 1.16 in 15.1 seconds.