The generator matrix

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

generates a code of length 49 over Z4 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+100x^39+192x^40+260x^41+318x^42+332x^43+470x^44+490x^45+512x^46+562x^47+554x^48+596x^49+583x^50+592x^51+542x^52+488x^53+428x^54+360x^55+290x^56+184x^57+130x^58+100x^59+60x^60+30x^61+12x^62+2x^63+3x^64+1x^82

The gray image is a code over GF(2) with n=98, k=13 and d=39.
This code was found by Heurico 1.10 in 7.78 seconds.