Prime p₀= 1097714534722871027 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1097713657302917783	0 6 38 50 78 90 104 108 146 150 164 176 204 216 248 254	-877419953244
STPT(10)	1097713743001863269	0 2 42 44 60 62 78 80 120 122	-791721007758
SPT(16)	1097713818327026479	0 12 42 52 54 90 112 118 144 150 172 208 210 220 250 262	-716395844548
SPT(16)	1097714334926854753	0 6 54 78 94 106 108 120 154 166 168 180 196 220 268 274	-199796016274
STPT(10)	1097714458197241499	0 2 18 20 30 32 42 44 60 62	-76525629528
TPT(14)	1097714485387107461	0 2 96 98 156 158 168 170 186 188 210 212 228 230	-49335763566
SPT(16)	1097714542253839687	0 6 24 64 100 126 136 192 244 300 310 336 372 412 430 436	7530968660
STPT(10)	1097714628493853309	0 2 42 44 60 62 78 80 120 122	93770982282
SPT(16)	1097714641351608767	0 56 84 116 144 146 180 200 246 266 300 302 330 362 390 446	106628737740
SPT(16)	1097715052519205833	0 18 30 40 60 84 124 138 160 174 214 238 258 268 280 298	517796334806
TPT(14)	1097715165093286679	0 2 18 20 30 32 90 92 102 104 132 134 162 164	630370415652