The generator matrix

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

generates a code of length 49 over Z4 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+68x^44+128x^46+121x^48+72x^50+48x^52+4x^54+26x^56+16x^58+20x^60+4x^62+4x^64

The gray image is a code over GF(2) with n=98, k=9 and d=44.
This code was found by Heurico 1.10 in 0.016 seconds.