Prime p₀= 2291239520283488417 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: JonS
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2291238513676260017	0 2 60 62 72 74 84 86 174 176 204 206 312 314	-1006607228400
STPT(10)	2291238849364142939	0 2 18 20 30 32 42 44 60 62	-670919345478
SPT(16)	2291238857444890369	0 30 58 70 78 100 120 130 168 178 198 220 228 240 268 298	-662838598048
STPT(10)	2291238971311181501	0 2 30 32 78 80 126 128 156 158	-548972306916
STPT(10)	2291239110825052439	0 2 18 20 60 62 102 104 120 122	-409458435978
SPT(16)	2291239144657372043	0 8 14 26 56 66 78 84 110 116 128 138 168 180 186 194	-375626116374
SPT(16)	2291239525668533269	0 4 18 40 48 60 130 162 250 282 352 364 372 394 408 412	5385044852
SPT(16)	2291239973074209457	0 10 24 76 102 154 196 244 252 300 342 394 420 472 486 496	452790721040
SPT(16)	2291240303356626001	0 28 66 78 100 106 112 132 136 156 162 168 190 202 240 268	783073137584
STPT(10)	2291240740659152369	0 2 42 44 90 92 138 140 180 182	1220375663952
SPT(16)	2291240800555984621	0 66 108 142 172 186 192 196 222 226 232 246 276 310 352 418	1280272496204