Prime p₀= 2199272798472475049 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2199271529905291001	0 2 26 30 56 68 128 132 146 150 210 222 248 252 276 278	-1268567184048
STPT(10)	2199271759785962357	0 2 12 14 42 44 72 74 84 86	-1038686512692
SPT(16)	2199271950797123071	0 42 78 88 90 102 108 132 148 172 178 190 192 202 238 280	-847675351978
STPT(10)	2199272233813015181	0 2 6 8 18 20 30 32 36 38	-564659459868
SPT(16)	2199272286942497981	0 30 36 62 78 86 128 146 162 180 222 230 246 272 278 308	-511529977068
SPT(16)	2199272640073906519	0 24 30 78 94 100 154 174 184 204 258 264 280 328 334 358	-158398568530
SPT(16)	2199272960075452607	0 12 26 56 66 90 126 140 162 176 212 236 246 276 290 302	161602977558
SPT(16)	2199273029705527079	0 12 72 78 90 120 132 168 182 218 230 260 272 278 338 350	231233052030
SPT(16)	2199273250620815219	0 8 42 50 140 158 170 182 300 312 324 342 432 440 474 482	452148340170
SPT(13)	2199273330441294959	0 48 90 168 180 234 264 294 348 360 438 480 528	531968819910
STPT(10)	2199274010510631881	0 2 30 32 78 80 126 128 156 158	1212038156832