The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+15x^32+40x^33+15x^34+16x^36+16x^37+16x^38+8x^41+1x^66

The gray image is a code over GF(2) with n=70, k=7 and d=32.
This code was found by Heurico 1.16 in 0.00579 seconds.