The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+46x^33+125x^34+104x^35+57x^36+104x^37+123x^38+68x^39+27x^40+46x^41+73x^42+64x^43+35x^44+54x^45+57x^46+20x^47+8x^48+4x^49+6x^50+2x^53

The gray image is a code over GF(2) with n=78, k=10 and d=33.
This code was found by Heurico 1.10 in 0.031 seconds.