Prime p₀= 2128581513172636307 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: MarkRBright
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2128578916555467191	0 2 6 8 48 50 90 92 96 98	-2596617169116
STPT(10)	2128578949975501349	0 2 18 20 30 32 42 44 60 62	-2563197134958
STPT(10)	2128579655648213819	0 2 42 44 60 62 78 80 120 122	-1857524422488
SPT(16)	2128580104941359659	0 28 64 78 130 142 154 172 210 228 240 252 304 318 354 382	-1408231276648
SPT(16)	2128580411064978671	0 20 26 138 152 168 192 206 282 296 320 336 350 462 468 488	-1102107657636
TPT(14)	2128580943647373977	0 2 54 56 60 62 114 116 150 152 192 194 210 212	-569525262330
STPT(10)	2128581580980244979	0 2 42 44 120 122 198 200 240 242	67807608672
SPT(16)	2128581658167745357	0 16 36 42 64 70 120 124 192 196 246 252 274 280 300 316	144995109050
STPT(10)	2128581713189581547	0 2 60 62 72 74 84 86 144 146	200016945240
TPT(14)	2128582240374847067	0 2 30 32 72 74 114 116 150 152 180 182 222 224	727202210760
SPT(16)	2128582666901094863	0 50 60 90 114 134 138 144 170 176 180 200 224 254 264 314	1153728458556