The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  2  2  2  1  1  1  1  1  0  1  2  1  1  1  0  1  0  2  1  0  2  1  1
 0  1  0  0  0  1  1  1  2  0  3  3  1  2  1  0  0  1  1  0  1  3  2  1  0  2  0  3  1  1  2  1  1  2  0
 0  0  1  0  1  1  0  1  0  3  3  2  2  1  1  3  3  3  0  2  2  3  1  2  2  0  0  0  2  1  1  3  0  0  0
 0  0  0  1  1  0  1  1  1  0  1  2  3  1  2  0  3  2  1  3  0  3  3  2  0  1  1  1  3  1  1  2  0  1  0
 0  0  0  0  2  0  0  0  0  0  0  0  2  0  2  2  2  2  0  0  2  2  0  0  0  2  2  2  0  2  0  2  2  0  0
 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  2  0  2  0  2  2  2  0  2  2  0
 0  0  0  0  0  0  2  0  0  0  0  0  0  2  2  2  2  2  2  0  0  0  0  2  2  0  2  2  0  2  2  0  0  2  0
 0  0  0  0  0  0  0  2  2  2  0  2  2  2  2  2  0  0  0  0  0  0  0  2  0  2  0  2  2  0  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+59x^26+52x^27+134x^28+200x^29+229x^30+276x^31+286x^32+310x^33+323x^34+354x^35+326x^36+358x^37+277x^38+274x^39+220x^40+146x^41+119x^42+66x^43+52x^44+10x^45+13x^46+2x^47+5x^48+3x^50+1x^54

The gray image is a code over GF(2) with n=70, k=12 and d=26.
This code was found by Heurico 1.16 in 0.91 seconds.