The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+189x^32+172x^36+108x^40+36x^44+6x^48

The gray image is a code over GF(2) with n=72, k=9 and d=32.
This code was found by Heurico 1.16 in 2.79 seconds.