The generator matrix

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

generates a code of length 50 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+31x^40+98x^41+127x^42+162x^43+213x^44+204x^45+251x^46+280x^47+280x^48+280x^49+273x^50+280x^51+278x^52+280x^53+260x^54+228x^55+158x^56+146x^57+95x^58+70x^59+51x^60+12x^61+17x^62+4x^63+9x^64+4x^65+1x^66+2x^68+1x^72

The gray image is a code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.16 in 1.6 seconds.