Prime p₀= 2969066701167706817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2969065008309053411	0 2 6 8 18 20 30 32 36 38	-1692858653406
STPT(12)	2969065056471671357	0 2 30 32 54 56 90 92 114 116 144 146	-1644696035460
STPT(10)	2969066024218365077	0 2 30 32 42 44 54 56 84 86	-676949341740
SPT(16)	2969066196650299873	0 24 78 88 106 130 138 154 180 196 204 228 246 256 310 334	-504517406944
SPT(16)	2969066216719243601	0 2 20 32 42 48 56 90 98 132 140 146 156 168 186 188	-484448463216
SPT(16)	2969066509535623667	0 2 24 32 86 122 126 174 242 290 294 330 384 392 414 416	-191632083150
STPT(10)	2969066965551371957	0 2 24 26 42 44 60 62 84 86	264383665140
SPT(16)	2969067689031755383	0 4 30 36 70 88 100 118 186 204 216 234 268 274 300 304	987864048566
STPT(10)	2969068115615833871	0 2 6 8 48 50 90 92 96 98	1414448127054
STPT(10)	2969068739344771907	0 2 30 32 42 44 54 56 84 86	2038177065090
SPT(16)	2969070283588562323	0 36 60 66 70 106 118 148 156 186 198 234 238 244 268 304	3582420855506