Prime p₀= 2397010727070067679 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2397009540014875451	0 2 30 32 66 68 120 122 156 158 246 248 360 362	-1187055192228
SPT(16)	2397009663537086593	0 10 46 58 66 88 100 108 136 144 156 178 186 198 234 244	-1063532981086
SPT(16)	2397010124404500001	0 12 28 36 88 96 102 148 150 196 202 210 262 270 286 298	-602665567678
SPT(16)	2397010364685511703	0 44 98 116 126 144 170 174 200 204 230 248 258 276 330 374	-362384555976
STPT(10)	2397010556677147421	0 2 6 8 48 50 90 92 96 98	-170392920258
SPT(16)	2397010660671050201	0 56 66 68 122 128 138 152 156 170 180 186 240 242 252 308	-66399017478
STPT(10)	2397011383569462617	0 2 12 14 42 44 72 74 84 86	656499394938
STPT(10)	2397011684169462431	0 2 30 32 78 80 126 128 156 158	957099394752
SPT(16)	2397011701117406669	0 20 60 108 132 162 228 242 258 272 338 368 392 440 480 500	974047338990
TPT(14)	2397011998079168201	0 2 18 20 30 32 90 92 138 140 156 158 240 242	1271009100522
STPT(10)	2397012104844119417	0 2 54 56 72 74 90 92 144 146	1377774051738