Prime p₀= 2306641047864067097 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2306639898164539463	0 26 50 56 80 96 116 120 140 144 164 180 204 210 234 260	-1149699527634
STPT(10)	2306639904582521489	0 2 42 44 60 62 78 80 120 122	-1143281545608
SPT(16)	2306640368528688679	0 22 34 54 60 78 112 138 154 180 214 232 238 258 270 292	-679335378418
STPT(10)	2306640441957422531	0 2 36 38 78 80 120 122 156 158	-605906644566
SPT(16)	2306640605037150817	0 30 66 84 130 186 190 204 256 270 274 330 376 394 430 460	-442826916280
STPT(10)	2306640679418970449	0 2 18 20 60 62 102 104 120 122	-368445096648
STPT(10)	2306641451221364207	0 2 30 32 42 44 54 56 84 86	403357297110
SPT(16)	2306641575548678191	0 40 42 48 52 136 178 222 376 420 462 546 550 556 558 598	527684611094
STPT(10)	2306641871490813299	0 2 42 44 60 62 78 80 120 122	823626746202
SPT(16)	2306642114376229429	0 4 30 34 64 70 108 130 132 154 192 198 228 232 258 262	1066512162332
STPT(10)	2306642163253616759	0 2 18 20 30 32 42 44 60 62	1115389549662