The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+92x^25+229x^26+312x^27+451x^28+590x^29+793x^30+966x^31+1060x^32+1336x^33+1469x^34+1580x^35+1562x^36+1394x^37+1276x^38+942x^39+757x^40+594x^41+409x^42+274x^43+129x^44+88x^45+43x^46+20x^47+5x^48+2x^49+5x^50+2x^51+2x^52+1x^56

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 30 seconds.