Prime p₀= 2044800051661870829 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: arkiss
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2044799085016074529	0 10 18 24 84 94 102 120 142 160 168 178 238 244 252 262	-966645796300
STPT(10)	2044799091523765277	0 2 30 32 42 44 54 56 84 86	-960138105552
SPT(18)	2044799127041000761	0 30 48 60 96 118 168 216 238 300 322 370 420 442 478 490 508 538	-924620870068
STPT(10)	2044799425546503539	0 2 12 14 90 92 168 170 180 182	-626115367290
SPT(16)	2044799447191415153	0 44 54 116 150 156 176 194 210 228 248 254 288 350 360 404	-604470455676
SPT(16)	2044799872553081389	0 22 48 54 100 114 130 174 238 282 298 312 358 364 390 412	-179108789440
STPT(10)	2044800223549895561	0 2 36 38 78 80 120 122 156 158	171888024732
SPT(16)	2044800347918923633	0 24 48 58 100 108 114 166 318 370 376 384 426 436 460 484	296257052804
STPT(10)	2044800550506551657	0 2 30 32 42 44 54 56 84 86	498844680828
SPT(16)	2044801438682985473	0 8 50 54 78 110 134 144 194 204 228 260 284 288 330 338	1387021114644
SPT(16)	2044801591921831187	0 12 14 20 26 44 54 56 90 92 102 120 126 132 134 146	1540259960358