The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+155x^30+444x^32+544x^34+583x^36+658x^38+586x^40+564x^42+384x^44+123x^46+49x^48+4x^50+1x^68

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.