The generator matrix

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

generates a code of length 49 over Z4 who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+10x^35+62x^36+164x^37+307x^38+452x^39+630x^40+800x^41+1096x^42+1236x^43+1517x^44+1876x^45+2070x^46+2314x^47+2425x^48+2536x^49+2436x^50+2416x^51+2307x^52+1930x^53+1658x^54+1404x^55+956x^56+734x^57+540x^58+310x^59+247x^60+134x^61+74x^62+44x^63+44x^64+18x^65+8x^66+4x^67+3x^68+3x^70+2x^71

The gray image is a code over GF(2) with n=98, k=15 and d=35.
This code was found by Heurico 1.10 in 34.8 seconds.