The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+174x^38+41x^40+160x^42+8x^44+64x^46+11x^48+40x^50+10x^54+3x^56

The gray image is a code over GF(2) with n=84, k=9 and d=38.
This code was found by Heurico 1.16 in 35.9 seconds.