The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+18x^72+8x^74+4x^76+1x^80

The gray image is a code over GF(2) with n=142, k=5 and d=72.
This code was found by Heurico 1.16 in 0.0558 seconds.