The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^38+102x^39+290x^40+332x^41+496x^42+566x^43+702x^44+796x^45+886x^46+992x^47+1064x^48+1258x^49+1080x^50+1260x^51+1218x^52+1122x^53+946x^54+876x^55+685x^56+506x^57+411x^58+276x^59+216x^60+74x^61+72x^62+22x^63+39x^64+8x^65+12x^66+2x^67+8x^68+1x^72+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 48.5 seconds.