The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+184x^26+503x^28+857x^30+1110x^32+1420x^34+1392x^36+1302x^38+796x^40+410x^42+161x^44+47x^46+5x^48+2x^50+2x^54

The gray image is a code over GF(2) with n=70, k=13 and d=26.
This code was found by Heurico 1.10 in 1.55 seconds.