Prime p₀= 1186454040224783357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1186452592848957541	0 18 22 52 90 106 108 118 120 130 132 148 186 216 220 238	-1447375825816
SPT(16)	1186452613419102451	0 6 10 16 118 120 142 162 226 246 268 270 372 378 382 388	-1426805680906
SPT(16)	1186452844713903017	0 32 80 116 132 146 174 206 210 242 270 284 300 336 384 416	-1195510880340
STPT(10)	1186452934752291959	0 2 18 20 30 32 42 44 60 62	-1105472491398
SPT(16)	1186453389534727843	0 16 34 64 88 90 96 118 126 148 154 156 180 210 228 244	-650690055514
SPT(16)	1186453692962294129	0 20 48 80 84 98 150 164 168 182 234 248 252 284 312 332	-347262489228
STPT(10)	1186454064928204571	0 2 36 38 78 80 120 122 156 158	24703421214
SPT(16)	1186454239359431893	0 34 54 70 90 120 156 160 204 208 244 274 294 310 330 364	199134648536
STPT(10)	1186454262285477347	0 2 30 32 42 44 54 56 84 86	222060693990
STPT(10)	1186454715467533607	0 2 30 32 42 44 54 56 84 86	675242750250
SPT(16)	1186455307403959883	0 54 56 68 80 86 96 138 206 248 258 264 276 288 290 344	1267179176526