Prime p₀= 2044898336985313697 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

STPT(10)	2044896902158167401	0 2 36 38 78 80 120 122 156 158	-1434827146296
STPT(10)	2044897702525993871	0 2 6 8 48 50 90 92 96 98	-634459319826
SPT(16)	2044897931097783017	0 84 86 110 144 156 170 240 326 396 410 422 456 480 482 566	-405887530680
SPT(16)	2044898110970301467	0 12 24 60 74 104 182 194 222 234 312 342 356 392 404 416	-226015012230
STPT(10)	2044898235256429739	0 2 18 20 30 32 42 44 60 62	-101728883958
STPT(10)	2044898310076380329	0 2 18 20 30 32 42 44 60 62	-26908933368
STPT(10)	2044898652341503757	0 2 30 32 42 44 54 56 84 86	315356190060
SPT(16)	2044899196698122161	0 22 28 52 88 90 228 250 258 280 418 420 456 480 486 508	859712808464
STPT(10)	2044899652023770207	0 2 12 14 42 44 72 74 84 86	1315038456510
SPT(16)	2044899977136497609	0 24 42 44 60 72 98 108 134 144 170 182 198 200 218 242	1640151183912
SPT(16)	2044900410902934257	0 2 44 60 72 80 110 116 150 156 186 194 206 222 264 266	2073917620560