Prime p₀= 2958472469554142867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Orange Kid
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2958470618005047653	0 26 104 126 140 156 198 230 264 296 338 354 368 390 468 494	-1851549095214
SPT(16)	2958470629480744219	0 4 10 28 34 204 232 234 238 240 268 438 444 462 468 472	-1840073398648
STPT(10)	2958470653852010579	0 2 42 44 60 62 78 80 120 122	-1815702132288
SPT(16)	2958470886131461147	0 12 54 220 234 250 262 310 336 384 396 412 426 592 634 646	-1583422681720
SPT(16)	2958471108008166391	0 60 102 106 120 130 132 156 172 196 198 208 222 226 268 328	-1361545976476
SPT(16)	2958472196467989961	0 12 22 42 148 156 198 268 390 460 502 510 616 636 646 658	-273086152906
STPT(10)	2958472635239550641	0 2 36 38 78 80 120 122 156 158	165685407774
SPT(16)	2958472735564562701	0 46 60 78 88 108 112 190 198 276 280 300 310 328 342 388	266010419834
STPT(10)	2958473013375879911	0 2 6 8 18 20 30 32 36 38	543821737044
TPT(14)	2958473133974922437	0 2 24 26 54 56 84 86 102 104 222 224 240 242	664420779570
STPT(10)	2958473495743496711	0 2 30 32 78 80 126 128 156 158	1026189353844