The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^39+190x^40+254x^41+351x^42+354x^43+428x^44+470x^45+479x^46+568x^47+625x^48+602x^49+540x^50+576x^51+596x^52+496x^53+382x^54+366x^55+276x^56+198x^57+156x^58+78x^59+56x^60+26x^61+11x^62+8x^63+4x^64+2x^65+1x^74

The gray image is a code over GF(2) with n=98, k=13 and d=39.
This code was found by Heurico 1.16 in 15.7 seconds.