Prime p₀= 1131171465164107667 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1131170320343117017	0 42 46 64 82 90 94 124 132 162 166 174 192 210 214 256	-1144820990650
SPT(16)	1131170481209821601	0 86 92 96 98 108 150 156 302 308 350 360 362 366 372 458	-983954286066
SPT(16)	1131170596181410789	0 28 34 42 70 72 82 88 114 120 130 132 160 168 174 202	-868982696878
SPT(16)	1131170696715996941	0 8 32 42 56 98 110 132 146 168 180 222 236 246 270 278	-768448110726
SPT(20)	1131171122246063851	0 10 60 82 96 108 112 168 196 208 210 222 250 306 310 322 336 358 408 418	-342918043816
STPT(10)	1131171413087664539	0 2 48 50 90 92 132 134 180 182	-52076443128
SPT(16)	1131171731349471479	0 12 30 42 68 98 104 180 332 408 414 444 470 482 500 512	266185363812
SPT(16)	1131171815133785759	0 20 80 104 120 164 182 224 258 300 318 362 378 402 462 482	349969678092
STPT(10)	1131171835509745031	0 2 30 32 60 62 90 92 120 122	370345637364
STPT(10)	1131171847236028859	0 2 48 50 60 62 72 74 120 122	382071921192
SPT(16)	1131171950223644033	0 14 26 48 50 56 68 146 168 246 258 264 266 288 300 314	485059536366