Prime p₀= 1117955479968751157 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1117953281224591453	0 66 76 88 94 120 154 178 186 210 244 270 276 288 298 364	-2198744159704
TPT(14)	1117953981961692011	0 2 36 38 48 50 288 290 318 320 336 338 360 362	-1498007059146
SPT(18)	1117954245961331167	0 30 54 76 114 124 190 210 244 252 286 306 372 382 420 442 466 496	-1234007419990
STPT(10)	1117954289745410471	0 2 6 8 48 50 90 92 96 98	-1190223340686
STPT(12)	1117955110258855367	0 2 30 32 42 44 102 104 114 116 144 146	-369709895790
SPT(16)	1117955412334708691	0 2 20 56 98 108 132 182 276 326 350 360 402 438 456 458	-67634042466
STPT(10)	1117955715203088701	0 2 36 38 78 80 120 122 156 158	235234337544
SPT(16)	1117955925439799629	0 18 22 30 54 60 82 100 192 210 232 238 262 270 274 292	445471048472
STPT(10)	1117956310603640447	0 2 30 32 60 62 90 92 120 122	830634889290
SPT(16)	1117956583558673791	0 18 28 30 60 66 108 126 130 148 190 196 226 228 238 256	1103589922634
SPT(16)	1117956681403874009	0 42 74 90 140 168 192 218 234 260 284 312 362 378 410 452	1201435122852