The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+85x^38+102x^39+240x^40+312x^41+492x^42+460x^43+634x^44+870x^45+899x^46+1088x^47+1114x^48+1152x^49+1239x^50+1328x^51+1166x^52+1220x^53+887x^54+862x^55+716x^56+464x^57+383x^58+212x^59+198x^60+70x^61+93x^62+44x^63+25x^64+8x^65+13x^66+2x^68+4x^70+1x^74

The gray image is a code over GF(2) with n=100, k=14 and d=38.
This code was found by Heurico 1.16 in 48.3 seconds.