The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+96x^25+220x^26+326x^27+459x^28+546x^29+781x^30+1006x^31+1093x^32+1310x^33+1519x^34+1546x^35+1432x^36+1454x^37+1310x^38+970x^39+818x^40+582x^41+348x^42+216x^43+157x^44+104x^45+43x^46+32x^47+8x^48+4x^49+1x^50+2x^54

The gray image is a code over GF(2) with n=70, k=14 and d=25.
This code was found by Heurico 1.16 in 27.6 seconds.