The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+40x^37+153x^38+312x^39+447x^40+628x^41+807x^42+1054x^43+1267x^44+1522x^45+1851x^46+2038x^47+2293x^48+2482x^49+2572x^50+2564x^51+2466x^52+2268x^53+1998x^54+1620x^55+1281x^56+984x^57+660x^58+534x^59+383x^60+234x^61+131x^62+62x^63+50x^64+34x^65+16x^66+8x^67+4x^68+3x^70+1x^74

The gray image is a code over GF(2) with n=100, k=15 and d=37.
This code was found by Heurico 1.16 in 91.9 seconds.