The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  0  0  0  1  1  1  1  2  0  2  0  2  0  2  1  1  1  1  1  1  1
 0  2  0  2  0  0  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  2  2  0  0  2
 0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  2  2  0  2  2  0  2  2  2  2  0  0  0  0  2  2  0  0  2  2

generates a code of length 36 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+8x^37+3x^38+3x^40+1x^46

The gray image is a code over GF(2) with n=72, k=4 and d=37.
This code was found by Heurico 1.16 in 0.00672 seconds.