The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+50x^40+40x^42+22x^44+8x^46+1x^48+6x^52

The gray image is a code over GF(2) with n=84, k=7 and d=40.
This code was found by Heurico 1.16 in 0.0114 seconds.