Prime p₀= 2373030950040485237 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2373029488572312019	0 4 24 28 48 94 108 120 142 154 168 214 234 238 258 262	-1461468173218
SPT(16)	2373029916990765749	0 2 30 54 62 72 80 134 210 264 272 282 290 314 342 344	-1033049719488
SPT(16)	2373029944199720231	0 6 30 32 56 108 110 138 200 228 230 282 306 308 332 338	-1005840765006
STPT(10)	2373029955729361211	0 2 6 8 48 50 90 92 96 98	-994311124026
SPT(20)	2373030022912263749	0 2 20 24 30 48 132 192 242 300 332 390 440 500 584 602 608 612 630 632	-927128221488
STPT(10)	2373030282927249677	0 2 30 32 42 44 54 56 84 86	-667113235560
SPT(16)	2373031349933518283	0 8 36 44 50 104 114 120 224 230 240 294 300 308 336 344	399893033046
SPT(18)	2373031534318391957	0 44 50 96 126 134 156 204 240 356 392 440 462 470 500 546 552 596	584277906720
SPT(16)	2373031695250210649	0 2 14 74 114 120 132 140 174 182 194 200 240 300 312 314	745209725412
STPT(10)	2373032359079333057	0 2 30 32 42 44 54 56 84 86	1409038847820
STPT(10)	2373032396255816591	0 2 6 8 18 20 30 32 36 38	1446215331354