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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+20x^34+36x^35+58x^36+36x^37+18x^38+24x^39+1x^40+24x^41+8x^42+4x^43+8x^44+4x^45+8x^46+4x^52+2x^54

The gray image is a code over GF(2) with n=76, k=8 and d=34.
This code was found by Heurico 1.16 in 0.0104 seconds.