The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^28+419x^30+586x^32+608x^34+632x^36+598x^38+580x^40+392x^42+118x^44+31x^46+1x^64

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 0.995 seconds.