Prime p₀= 1266918378766101959 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Megacruncher
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1266917569147754107	0 12 24 52 100 112 114 136 180 202 204 216 264 292 304 316	-809618347852
STPT(10)	1266917634366053639	0 2 12 14 30 32 48 50 60 62	-744400048320
SPT(16)	1266917712791615909	0 14 24 98 110 120 128 150 182 204 212 222 234 308 318 332	-665974486050
STPT(10)	1266917779917748961	0 2 30 32 60 62 90 92 120 122	-598848352998
STPT(10)	1266917915964282479	0 2 18 20 60 62 102 104 120 122	-462801819480
SPT(16)	1266918368326533667	0 6 34 42 64 76 84 90 136 142 150 162 184 192 220 226	-10439568292
TPT(14)	1266918564216022481	0 2 30 32 78 80 150 152 306 308 348 350 450 452	185449920522
STPT(10)	1266918596978558141	0 2 36 38 78 80 120 122 156 158	218212456182
SPT(16)	1266918644387708009	0 54 62 74 78 92 98 120 122 144 150 164 168 180 188 242	265621606050
SPT(16)	1266918858939287467	0 6 12 34 42 64 72 90 106 124 132 154 162 184 190 196	480173185508
STPT(10)	1266918933542021729	0 2 12 14 30 32 48 50 60 62	554775919770