Prime p₀= 2044727885441165591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

STPT(12)	2044726708081480541	0 2 18 20 60 62 138 140 180 182 198 200	-1177359685050
SPT(16)	2044726748629749199	0 28 58 60 100 138 162 168 184 190 214 252 292 294 324 352	-1136811416392
STPT(10)	2044726963370859737	0 2 54 56 72 74 90 92 144 146	-922070305854
SPT(18)	2044727082452248057	0 36 96 106 132 160 190 196 222 304 330 336 366 394 420 430 490 526	-802988917534
STPT(10)	2044727612571131729	0 2 42 44 90 92 138 140 180 182	-272870033862
STPT(10)	2044727729017974599	0 2 18 20 30 32 42 44 60 62	-156423190992
SPT(16)	2044728017857332523	0 4 36 60 84 106 130 154 210 234 258 280 304 328 360 364	132416166932
SPT(16)	2044728271670792119	0 40 54 70 90 124 130 144 154 168 174 208 228 244 258 298	386229626528
STPT(10)	2044728299358228299	0 2 12 14 30 32 48 50 60 62	413917062708
SPT(16)	2044728627472466269	0 10 64 94 102 132 138 154 228 244 250 280 288 318 372 382	742031300678
STPT(12)	2044728698510027069	0 2 12 14 72 74 78 80 138 140 150 152	813068861478