The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+29x^32+8x^33+40x^34+72x^35+24x^36+24x^37+14x^38+24x^39+6x^42+2x^46+10x^48+2x^50

The gray image is a code over GF(2) with n=72, k=8 and d=32.
This code was found by Heurico 1.16 in 0.0091 seconds.