The generator matrix
1 0 1 1 1 1 1 1 1 1 1 1 1 1
0 1 1 31 16 0 4 36 31 36 38 7 16 9
0 0 35 21 42 7 14 42 28 0 14 35 21 7
generates a code of length 14 over Z49 who´s minimum homogenous weight is 73.
Homogenous weight enumerator: w(x)=1x^0+504x^73+162x^77+588x^78+2520x^80+4176x^84+3528x^85+5208x^87+66x^91+54x^98
The gray image is a code over GF(7) with n=98, k=5 and d=73.
This code was found by Heurico 1.16 in 5.18 seconds.