The generator matrix

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

generates a code of length 73 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+26x^72+12x^74+20x^76+4x^78+1x^80

The gray image is a code over GF(2) with n=146, k=6 and d=72.
This code was found by Heurico 1.16 in 0.0629 seconds.