The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+146x^30+467x^32+494x^34+652x^36+580x^38+700x^40+532x^42+304x^44+154x^46+48x^48+14x^50+4x^52

The gray image is a code over GF(2) with n=76, k=12 and d=30.
This code was found by Heurico 1.16 in 1.09 seconds.