Prime p₀= 2090806726864765097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: CoolAtchOk
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2090805536232784961	0 32 50 56 66 132 146 156 176 186 200 266 276 282 300 332	-1190631980136
STPT(10)	2090805618885755267	0 2 12 14 42 44 72 74 84 86	-1107979009830
SPT(16)	2090805652543940707	0 4 12 60 64 114 126 214 222 310 322 372 376 424 432 436	-1074320824390
SPT(16)	2090806062234727381	0 40 42 52 60 76 120 136 162 178 222 238 246 256 258 298	-664630037716
STPT(10)	2090806575844114361	0 2 36 38 78 80 120 122 156 158	-151020650736
STPT(10)	2090806677020111261	0 2 30 32 78 80 126 128 156 158	-49844653836
SPT(16)	2090806874656644901	0 22 42 96 102 130 162 168 190 196 228 256 262 316 336 358	147791879804
SPT(16)	2090807256457179427	0 4 6 34 66 72 82 100 126 144 154 160 192 220 222 226	529592414330
SPT(16)	2090807288818170827	0 6 92 116 126 134 186 204 212 230 282 290 300 324 410 416	561953405730
SPT(16)	2090807820476459683	0 4 70 96 106 118 120 154 180 214 216 228 238 264 330 334	1093611694586
STPT(12)	2090808073900543997	0 2 60 62 114 116 180 182 234 236 294 296	1347035778900