The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+16x^36+12x^38+3x^40

The gray image is a code over GF(2) with n=72, k=5 and d=36.
This code was found by Heurico 1.16 in 0.00701 seconds.