The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+155x^26+522x^28+829x^30+1154x^32+1321x^34+1584x^36+1218x^38+814x^40+394x^42+142x^44+49x^46+7x^48+1x^50+1x^58

The gray image is a code over GF(2) with n=70, k=13 and d=26.
This code was found by Heurico 1.16 in 3.86 seconds.