The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+156x^28+370x^30+570x^32+602x^34+733x^36+596x^38+562x^40+324x^42+134x^44+26x^46+19x^48+2x^50+1x^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 1.04 seconds.