The generator matrix

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

generates a code of length 71 over Z4 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+122x^68+87x^72+28x^76+7x^80+10x^84+1x^88

The gray image is a code over GF(2) with n=142, k=8 and d=68.
This code was found by Heurico 1.16 in 60.2 seconds.