The generator matrix
1 0 1 1 1 1 1 0 1 1 1
0 1 1 31 16 48 36 1 4 19 0
0 0 35 0 35 7 14 35 35 7 0
0 0 0 7 28 28 42 35 21 42 21
generates a code of length 11 over Z49 who´s minimum homogenous weight is 49.
Homogenous weight enumerator: w(x)=1x^0+144x^49+882x^54+414x^56+10290x^60+10584x^61+534x^63+61740x^67+31752x^68+876x^70+432x^77
The gray image is a code over GF(7) with n=77, k=6 and d=49.
This code was found by Heurico 1.16 in 0.536 seconds.