The generator matrix

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

generates a code of length 35 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+119x^24+168x^25+394x^26+590x^27+922x^28+1096x^29+1433x^30+1886x^31+2321x^32+2834x^33+2950x^34+3080x^35+2990x^36+3004x^37+2402x^38+2012x^39+1513x^40+1072x^41+892x^42+438x^43+296x^44+140x^45+115x^46+54x^47+30x^48+6x^49+4x^50+4x^51+2x^54

The gray image is a code over GF(2) with n=70, k=15 and d=24.
This code was found by Heurico 1.16 in 55.2 seconds.