Prime p₀= 2991538768803722321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2991536746587208121	0 2 30 32 78 80 126 128 156 158	-2022216514200
SPT(18)	2991537413624712679	0 18 48 58 84 132 172 174 178 234 238 240 280 328 354 364 394 412	-1355179009642
SPT(16)	2991537695341479419	0 24 42 48 122 132 224 258 284 318 410 420 494 500 518 542	-1073462242902
STPT(10)	2991538277861910977	0 2 54 56 72 74 90 92 144 146	-490941811344
STPT(10)	2991538452158665811	0 2 78 80 108 110 138 140 216 218	-316645056510
SPT(16)	2991538680173412727	0 24 46 120 124 154 172 186 190 204 222 252 256 330 352 376	-88630309594
TPT(14)	2991539165105526617	0 2 30 32 84 86 150 152 180 182 192 194 234 236	396301804296
SPT(16)	2991539515470873589	0 4 24 84 124 144 178 180 208 210 244 264 304 364 384 388	746667151268
STPT(10)	2991540073836240929	0 2 30 32 60 62 90 92 120 122	1305032518608
SPT(16)	2991540119466681283	0 18 54 88 106 154 186 198 256 268 300 348 366 400 436 454	1350662958962
TPT(14)	2991540349683438731	0 2 78 80 90 92 120 122 138 140 168 170 180 182	1580879716410