Prime p₀= 2313014396949215369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: WTBroughton
db: batch=81, k=10, 2 46 2 40 2

SPT(16)	2313013526811759179	0 72 114 170 174 200 224 228 254 258 282 308 312 368 410 482	-870137456190
SPT(16)	2313013669471467449	0 42 48 78 90 110 168 188 204 224 282 302 314 344 350 392	-727477747920
SPT(16)	2313013706090288363	0 50 54 78 96 114 164 180 224 240 290 308 326 350 354 404	-690858927006
STPT(10)	2313014010728367407	0 2 24 26 42 44 60 62 84 86	-386220847962
SPT(16)	2313014291719078067	0 60 66 74 126 182 224 234 242 252 294 350 402 410 416 476	-105230137302
SPT(16)	2313014376597811877	0 12 50 92 102 104 132 134 180 182 210 212 222 264 302 314	-20351403492
SPT(16)	2313014580847603873	0 28 36 84 144 168 186 216 268 298 316 340 400 448 456 484	183898388504
SPT(16)	2313014795259139921	0 6 70 78 96 136 166 196 300 330 360 400 418 426 490 496	398309924552
STPT(10)	2313015031058085371	0 2 78 80 108 110 138 140 216 218	634108870002
STPT(10)	2313015044993914577	0 2 30 32 42 44 54 56 84 86	648044699208
STPT(12)	2313015086978864417	0 2 84 86 90 92 114 116 120 122 204 206	690029649048