Prime p₀= 2040441374596180079 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Dingo
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2040439939097758697	0 2 30 32 72 74 114 116 144 146	-1435498421382
STPT(10)	2040440618596208627	0 2 30 32 42 44 54 56 84 86	-755999971452
SPT(16)	2040441142633142167	0 46 52 70 76 90 102 130 156 184 196 210 216 234 240 286	-231963037912
SPT(16)	2040441253464977509	0 12 18 54 70 94 144 150 202 208 258 282 298 334 340 352	-121131202570
SPT(18)	2040441259942657127	0 12 26 90 180 182 204 210 296 300 386 392 414 416 506 570 584 596	-114653522952
STPT(10)	2040441350074465937	0 2 30 32 42 44 54 56 84 86	-24521714142
SPT(16)	2040441512265889151	0 18 42 72 110 122 168 170 180 182 228 240 278 308 332 350	137669709072
SPT(16)	2040441519442107259	0 10 18 112 142 178 228 268 282 322 372 408 438 532 540 550	144845927180
STPT(10)	2040441653873788349	0 2 18 20 30 32 42 44 60 62	279277608270
STPT(10)	2040441706871057447	0 2 60 62 72 74 84 86 144 146	332274877368
SPT(16)	2040442122211836283	0 100 108 156 168 174 178 234 250 306 310 316 328 376 384 484	747615656204