Prime p₀= 2161803778344206201 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=81, k=10, 2 4 2 10 2

SPT(16)	2161801742266111849	0 30 60 72 124 150 184 220 354 390 424 450 502 514 544 574	-2036078094352
SPT(16)	2161801794619982503	0 18 28 30 58 66 88 94 120 126 148 156 184 186 196 214	-1983724223698
STPT(10)	2161802722362575597	0 2 30 32 42 44 54 56 84 86	-1055981630604
SPT(16)	2161802765624460239	0 42 78 80 98 108 134 138 224 228 254 264 282 284 320 362	-1012719745962
SPT(16)	2161803231481945339	0 18 22 28 52 54 94 318 334 558 598 600 624 630 634 652	-546862260862
SPT(16)	2161803453014222023	0 40 70 88 94 108 118 136 168 186 196 210 216 234 264 304	-325329984178
SPT(16)	2161803806287069097	0 2 6 30 44 62 104 132 164 192 234 252 266 290 294 296	27942862896
STPT(10)	2161804017917340239	0 2 42 44 60 62 78 80 120 122	239573134038
TPT(14)	2161804051299549047	0 2 30 32 84 86 150 152 264 266 294 296 312 314	272955342846
STPT(10)	2161804314337750307	0 2 30 32 42 44 54 56 84 86	535993544106
SPT(16)	2161804798217229533	0 18 44 56 78 98 146 254 300 408 456 476 498 510 536 554	1019873023332