The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+165x^32+68x^34+110x^36+34x^38+78x^40+18x^42+26x^44+6x^46+4x^48+2x^50

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 0.0335 seconds.