The generator matrix

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

generates a code of length 38 over Z4 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+7x^36+18x^37+12x^38+12x^39+8x^40+2x^41+1x^42+1x^46+2x^50

The gray image is a code over GF(2) with n=76, k=6 and d=36.
This code was found by Heurico 1.16 in 0.00554 seconds.