The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  0  1  2  0  0  0  0  0  0  1  1  1  0  2  0  2  0  1  1
 0  2  0  0  0  2  2  2  0  0  0  2  0  2  2  2  0  0  2  2  0  2  2  2  0  2  2  2  2  0  0  0  0  0  0  2  2  2  2  2  0  2
 0  0  2  0  2  2  2  0  0  0  2  2  2  2  0  0  0  2  2  0  2  2  0  0  0  0  0  2  2  2  2  0  0  2  2  0  2  2  2  2  0  0
 0  0  0  2  2  0  2  2  0  2  2  0  0  2  2  0  2  2  0  0  0  2  2  0  0  0  2  2  0  0  2  2  2  2  0  0  0  0  2  2  0  2

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

Homogenous weight enumerator: w(x)=1x^0+22x^42+4x^44+1x^46+3x^48+1x^54

The gray image is a code over GF(2) with n=84, k=5 and d=42.
This code was found by Heurico 1.16 in 0.0279 seconds.