The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+115x^32+96x^36+36x^40+8x^48

The gray image is a code over GF(2) with n=70, k=8 and d=32.
This code was found by Heurico 1.16 in 0.797 seconds.