Prime p₀= 2223951430496706731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Penguin
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2223948743174321491	0 28 40 60 66 100 108 130 138 160 168 202 208 228 240 268	-2687322385240
STPT(10)	2223949799916583157	0 2 42 44 72 74 102 104 144 146	-1630580123574
STPT(10)	2223949813098744539	0 2 48 50 90 92 132 134 180 182	-1617397962192
STPT(10)	2223950213179349507	0 2 30 32 72 74 114 116 144 146	-1217317357224
STPT(10)	2223950305482021629	0 2 42 44 60 62 78 80 120 122	-1125014685102
SPT(16)	2223950893140736951	0 70 90 118 120 126 192 196 252 256 322 328 330 358 378 448	-537355969780
SPT(18)	2223951548335945817	0 6 72 114 176 200 284 302 314 492 504 522 606 630 692 734 800 806	117839239086
SPT(16)	2223951569247162407	0 6 14 50 86 104 120 126 164 170 186 204 240 276 284 290	138750455676
SPT(16)	2223951873326490383	0 18 66 74 168 198 200 206 258 264 266 296 390 398 446 464	442829783652
STPT(10)	2223951948831757757	0 2 30 32 42 44 54 56 84 86	518335051026
SPT(16)	2223952490111705377	0 6 34 52 112 142 156 216 220 280 294 324 384 402 430 436	1059614998646