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

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

Homogenous weight enumerator: w(x)=1x^0+87x^28+16x^30+183x^32+112x^34+250x^36+112x^38+153x^40+16x^42+75x^44+14x^48+4x^52+1x^56

The gray image is a code over GF(2) with n=72, k=10 and d=28.
This code was found by Heurico 1.16 in 0.145 seconds.