The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+254x^40+730x^42+1198x^44+1552x^46+1932x^48+2412x^50+2452x^52+2236x^54+1696x^56+1054x^58+567x^60+180x^62+84x^64+28x^66+6x^68+1x^76+1x^80

The gray image is a code over GF(2) with n=102, k=14 and d=40.
This code was found by Heurico 1.16 in 53.1 seconds.