Prime p₀= 1147266167039313857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Alnitak2019
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1147264326756146101	0 6 10 28 96 112 126 130 138 142 156 172 240 258 262 268	-1840283167756
STPT(10)	1147264575045148127	0 2 12 14 42 44 72 74 84 86	-1591994165730
SPT(16)	1147264756679311097	0 6 36 50 62 90 92 122 144 174 176 204 216 230 260 266	-1410360002760
SPT(16)	1147265072373626399	0 42 68 114 162 168 182 198 224 240 254 260 308 354 380 422	-1094665687458
STPT(10)	1147265880163911197	0 2 30 32 42 44 54 56 84 86	-286875402660
SPT(16)	1147265891011019467	0 30 72 94 130 136 142 240 316 414 420 426 462 484 526 556	-276028294390
STPT(10)	1147266299619202571	0 2 6 8 48 50 90 92 96 98	132579888714
STPT(10)	1147266575844315539	0 2 18 20 30 32 42 44 60 62	408805001682
SPT(16)	1147266605277594331	0 10 28 40 66 76 82 88 90 96 102 112 138 150 168 178	438238280474
TPT(14)	1147266734052719417	0 2 12 14 54 56 90 92 102 104 144 146 174 176	567013405560
SPT(16)	1147266884343452227	0 24 34 46 60 82 124 136 210 222 264 286 300 312 322 346	717304138370