The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^40+70x^41+126x^42+130x^43+223x^44+220x^45+246x^46+322x^47+260x^48+300x^49+247x^50+300x^51+262x^52+280x^53+228x^54+220x^55+168x^56+126x^57+140x^58+50x^59+35x^60+28x^61+30x^62+2x^63+11x^64+7x^66

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 1.87 seconds.