The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  7  1
 0  7  0  0  7  7 28  0  7 21 14 42  7 42
 0  0  7  0 35 28 21  7 14  7  0  7 14 42
 0  0  0  7 35  7 14 28 42 14  7  7  7  0

generates a code of length 14 over Z49 who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+456x^70+360x^77+2058x^78+552x^84+12348x^85+780x^91+252x^98

The gray image is a code over GF(7) with n=98, k=5 and d=70.
This code was found by Heurico 1.16 in 1.57 seconds.