Prime p₀= 2202099718020693311 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: ginga
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2202098007856135811	0 2 36 38 78 80 120 122 156 158	-1710164557500
STPT(10)	2202098249355542477	0 2 30 32 60 62 90 92 120 122	-1468665150834
STPT(10)	2202098257256420189	0 2 18 20 30 32 42 44 60 62	-1460764273122
SPT(16)	2202098298571163677	0 40 90 94 114 136 144 154 156 166 174 196 216 220 270 310	-1419449529634
SPT(16)	2202098644905574339	0 58 84 94 100 172 178 190 192 204 210 282 288 298 324 382	-1073115118972
SPT(16)	2202099390526093507	0 40 54 60 64 66 82 130 186 234 250 252 256 262 276 316	-327494599804
STPT(10)	2202100558800063809	0 2 18 20 30 32 42 44 60 62	840779370498
SPT(16)	2202100751650491407	0 6 56 62 66 72 80 102 104 126 134 140 144 150 200 206	1033629798096
STPT(10)	2202101600200563179	0 2 18 20 30 32 42 44 60 62	1882179869868
SPT(16)	2202101914800844897	0 10 36 42 64 84 100 126 130 156 172 192 214 220 246 256	2196780151586
SPT(16)	2202102498647699779	0 24 60 94 102 120 124 190 192 258 262 280 288 322 358 382	2780627006468