The generator matrix
1 0 1 1 1 1 1 0 1 1 7 1
0 1 1 31 16 0 31 1 7 38 1 4
0 0 35 21 42 7 28 14 42 14 35 21
generates a code of length 12 over Z49 who´s minimum homogenous weight is 61.
Homogenous weight enumerator: w(x)=1x^0+378x^61+90x^63+882x^66+1890x^68+126x^70+4116x^72+5292x^73+3906x^75+54x^77+72x^84
The gray image is a code over GF(7) with n=84, k=5 and d=61.
This code was found by Heurico 1.16 in 0.0149 seconds.