The generator matrix

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

generates a code of length 49 over Z4 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+34x^37+108x^38+264x^39+360x^40+376x^41+587x^42+664x^43+750x^44+930x^45+1051x^46+1122x^47+1199x^48+1302x^49+1236x^50+1278x^51+1111x^52+934x^53+822x^54+646x^55+561x^56+392x^57+260x^58+170x^59+103x^60+62x^61+30x^62+16x^63+11x^64+2x^65+1x^66+1x^86

The gray image is a code over GF(2) with n=98, k=14 and d=37.
This code was found by Heurico 1.10 in 9.38 seconds.