The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+110x^38+86x^39+221x^40+342x^41+493x^42+626x^43+682x^44+760x^45+879x^46+1016x^47+1098x^48+1238x^49+1114x^50+1202x^51+1207x^52+1148x^53+988x^54+874x^55+663x^56+510x^57+413x^58+250x^59+188x^60+92x^61+83x^62+40x^63+31x^64+6x^65+12x^66+2x^67+3x^68+4x^70+2x^72

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 46.8 seconds.