The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  2  1  0  1  1  1  2  1  1  1  1  0  2  0  2  0  1  2  1  1  1  1  1  1
 0  1  0  1  0  1  1  0  2  1  3  1  1  0  0  2  0  1  1  0  2  2  3  0  1  0  1  1  3  1  3  3  0  1  3  1
 0  0  1  1  1  0  1  0  1  3  2  0  1  2  1  1  3  1  1  0  0  0  3  1  2  1  2  0  2  2  3  0  0  2  2  1
 0  0  0  2  0  0  0  0  0  2  0  0  0  0  2  2  2  2  0  2  0  0  0  0  2  2  2  2  2  2  2  2  2  2  2  0
 0  0  0  0  2  0  0  0  2  0  0  0  0  0  0  2  2  0  0  2  2  2  2  2  2  2  2  0  0  0  0  0  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  2  0  0  0  2  2  2  2  2  0  2  2  0  2  0  0  2  0  2  0  2  2  0  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  2  0  2  2  2  0  0  2  2  2  0  0  2  2  2  2  2  0  0  2  0  0  0  0  0
 0  0  0  0  0  0  0  2  2  2  2  2  2  0  2  2  0  0  2  0  0  0  0  0  2  2  0  2  0  2  2  2  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+49x^28+60x^29+100x^30+98x^31+143x^32+168x^33+150x^34+184x^35+149x^36+192x^37+164x^38+172x^39+130x^40+88x^41+78x^42+56x^43+33x^44+4x^45+14x^46+2x^47+6x^48+4x^50+1x^52+2x^54

The gray image is a code over GF(2) with n=72, k=11 and d=28.
This code was found by Heurico 1.16 in 0.259 seconds.