The generator matrix

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

generates a code of length 39 over Z4 who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+52x^33+116x^34+100x^35+64x^36+92x^37+119x^38+78x^39+29x^40+60x^41+91x^42+58x^43+27x^44+40x^45+53x^46+18x^47+6x^48+8x^49+5x^50+2x^51+1x^52+4x^53

The gray image is a code over GF(2) with n=78, k=10 and d=33.
This code was found by Heurico 1.16 in 4.17 seconds.