Prime p₀= 2268464646651366617 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

TPT(14)	2268463103209056989	0 2 42 44 48 50 72 74 222 224 228 230 252 254	-1543442309628
SPT(16)	2268463276779626533	0 24 70 78 90 150 204 234 400 430 484 544 556 564 610 634	-1369871740084
STPT(10)	2268463918986591839	0 2 42 44 60 62 78 80 120 122	-727664774778
STPT(10)	2268464011187472401	0 2 30 32 120 122 210 212 240 242	-635463894216
TPT(14)	2268464394787353797	0 2 12 14 24 26 72 74 84 86 150 152 240 242	-251864012820
STPT(10)	2268464548215419921	0 2 6 8 48 50 90 92 96 98	-98435946696
SPT(16)	2268464891585398369	0 12 22 28 58 70 114 142 180 208 252 264 294 300 310 322	244934031752
SPT(16)	2268465157433205361	0 22 28 46 148 198 208 210 268 270 280 330 432 450 456 478	510781838744
TPT(14)	2268465260318115407	0 2 42 44 84 86 150 152 162 164 204 206 222 224	613666748790
SPT(18)	2268465613133613899	0 18 20 92 120 174 188 192 222 230 260 264 278 332 360 432 434 452	966482247282
SPT(16)	2268466090457313013	0 10 28 40 64 106 108 124 150 166 168 210 234 246 264 274	1443805946396