The generator matrix

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

generates a code of length 42 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+24x^38+44x^39+34x^40+34x^41+29x^42+30x^43+14x^44+12x^45+7x^46+11x^48+3x^50+2x^51+2x^52+1x^54+4x^55+2x^56+2x^57

The gray image is a code over GF(2) with n=84, k=8 and d=38.
This code was found by Heurico 1.16 in 0.0133 seconds.