The generator matrix

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

generates a code of length 51 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+55x^40+92x^41+204x^42+222x^43+309x^44+356x^45+438x^46+514x^47+494x^48+572x^49+525x^50+584x^51+571x^52+572x^53+552x^54+528x^55+431x^56+376x^57+256x^58+170x^59+156x^60+80x^61+66x^62+30x^63+27x^64+6x^66+3x^68+1x^76+1x^82

The gray image is a code over GF(2) with n=102, k=13 and d=40.
This code was found by Heurico 1.16 in 6.85 seconds.