Prime p₀= 2052791217650904077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2052790082375734379	0 2 18 20 30 32 42 44 60 62	-1135275169698
STPT(10)	2052790169902439321	0 2 6 8 48 50 90 92 96 98	-1047748464756
SPT(16)	2052790211360224313	0 14 20 48 50 66 90 110 204 224 248 264 266 294 300 314	-1006290679764
SPT(16)	2052790230797408831	0 2 18 36 60 78 102 128 150 176 200 218 242 260 276 278	-986853495246
STPT(10)	2052790349269798319	0 2 18 20 30 32 42 44 60 62	-868381105758
SPT(16)	2052790539926018663	0 38 84 110 114 144 168 240 278 350 374 404 408 434 480 518	-677724885414
STPT(10)	2052791299619781839	0 2 18 20 30 32 42 44 60 62	81968877762
SPT(16)	2052791338271981141	0 8 30 32 50 92 102 198 212 308 318 360 378 380 402 410	120621077064
STPT(10)	2052791576752371977	0 2 30 32 42 44 54 56 84 86	359101467900
SPT(16)	2052791628241158067	0 172 196 202 336 352 372 406 510 544 564 580 714 720 744 916	410590253990
TPT(14)	2052791766578709347	0 2 72 74 90 92 144 146 162 164 240 242 300 302	548927805270