Prime p₀= 968996185129465697 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: Theadalus
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	968995383699674117	0 72 96 140 176 194 204 216 260 272 282 300 336 380 404 476	-801429791580
SPT(16)	968995404341229547	0 16 22 42 72 120 154 162 184 192 226 274 304 324 330 346	-780788236150
STPT(12)	968995556179174169	0 2 18 20 42 44 48 50 72 74 90 92	-628950291528
SPT(16)	968995946761328609	0 2 14 50 120 134 140 162 230 252 258 272 342 378 390 392	-238368137088
STPT(10)	968996081398895729	0 2 48 50 90 92 132 134 180 182	-103730569968
STPT(12)	968996163211532591	0 2 48 50 78 80 90 92 120 122 168 170	-21917933106
TPT(14)	968996302088674667	0 2 84 86 90 92 120 122 222 224 234 236 462 464	116959208970
STPT(10)	968996597312699117	0 2 30 32 42 44 54 56 84 86	412183233420
STPT(10)	968997331382213657	0 2 30 32 42 44 54 56 84 86	1146252747960
SPT(16)	968997700499989241	0 48 50 68 98 102 126 132 146 152 176 180 210 228 230 278	1515370523544
SPT(16)	968997741020652089	0 32 84 104 108 120 140 168 224 252 272 284 288 308 360 392	1555891186392