Prime p₀= 2068579527952485797 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: Cruncher Pete
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2068578835645591691	0 2 30 32 120 122 210 212 240 242	-692306894106
SPT(16)	2068578888956366351	0 6 50 78 80 102 110 116 252 258 266 288 290 318 362 368	-638996119446
TPT(14)	2068578910644102497	0 2 54 56 60 62 90 92 102 104 144 146 180 182	-617308383300
STPT(10)	2068579014895241111	0 2 6 8 48 50 90 92 96 98	-513057244686
SPT(16)	2068579100965644119	0 12 20 24 84 90 102 138 194 230 242 248 308 312 320 332	-426986841678
SPT(13)	2068579308735507427	0 6 30 90 156 210 216 222 276 342 402 426 432	-219216978370
SPT(16)	2068580256007252369	0 12 28 42 48 70 78 88 162 172 180 202 208 222 238 250	728054766572
TPT(14)	2068580455024210991	0 2 78 80 108 110 120 122 138 140 180 182 210 212	927071725194
STPT(10)	2068580457557126267	0 2 42 44 72 74 102 104 144 146	929604640470
STPT(10)	2068581660865376099	0 2 42 44 60 62 78 80 120 122	2132912890302
STPT(10)	2068581780962365307	0 2 60 62 72 74 84 86 144 146	2253009879510