The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^38+100x^39+286x^40+356x^41+452x^42+558x^43+711x^44+796x^45+908x^46+1002x^47+1085x^48+1224x^49+1158x^50+1292x^51+1084x^52+1104x^53+936x^54+856x^55+710x^56+492x^57+485x^58+262x^59+197x^60+116x^61+78x^62+26x^63+22x^64+8x^65+8x^66+1x^90

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.