Prime p₀= 2164199183285150507 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2164197824687406847	0 22 30 42 100 114 120 124 180 184 190 204 262 274 282 304	-1358597743660
STPT(10)	2164198358045351669	0 2 18 20 30 32 42 44 60 62	-825239798838
SPT(20)	2164198370988197849	0 12 18 48 54 140 194 210 224 240 242 258 272 288 342 428 434 464 470 482	-812296952658
STPT(10)	2164198550557695647	0 2 30 32 72 74 114 116 144 146	-632727454860
SPT(16)	2164198640964300011	0 60 68 78 102 140 152 158 162 168 180 218 242 252 260 320	-542320850496
STPT(10)	2164198783993891217	0 2 60 62 72 74 84 86 144 146	-399291259290
SPT(16)	2164199367796528897	0 30 46 60 84 94 142 162 184 204 252 262 286 300 316 346	184511378390
STPT(10)	2164199433178256471	0 2 6 8 48 50 90 92 96 98	249893105964
STPT(10)	2164199452162390607	0 2 30 32 42 44 54 56 84 86	268877240100
SPT(16)	2164199539163353451	0 26 42 96 132 152 188 198 200 210 246 266 302 356 372 398	355878202944
SPT(16)	2164199555037986393	0 6 26 30 90 140 146 156 158 168 174 224 284 288 308 314	371752835886