The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+141x^28+396x^30+548x^32+648x^34+700x^36+598x^38+520x^40+366x^42+127x^44+38x^46+11x^48+2x^50

The gray image is a code over GF(2) with n=72, k=12 and d=28.
This code was found by Heurico 1.10 in 0.375 seconds.