Prime p₀= 2166343334730582101 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Landjunge
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2166342583817764613	0 20 60 78 98 140 158 176 258 276 294 336 356 374 414 434	-750912817488
STPT(10)	2166342741579593909	0 2 48 50 90 92 132 134 180 182	-593150988192
SPT(16)	2166342752461810729	0 4 22 42 48 70 78 114 118 154 162 184 190 210 228 232	-582268771372
SPT(16)	2166343001876537647	0 16 34 70 100 102 114 142 144 172 184 186 216 252 270 286	-332854044454
STPT(10)	2166343054953678581	0 2 30 32 78 80 126 128 156 158	-279776903520
TPT(14)	2166343126948155761	0 2 6 8 60 62 90 92 306 308 366 368 378 380	-207782426340
TPT(14)	2166343750272710399	0 2 18 20 108 110 138 140 150 152 180 182 222 224	415542128298
SPT(16)	2166344142423079093	0 10 28 94 114 126 144 180 184 220 238 250 270 336 354 364	807692496992
STPT(10)	2166344254881554687	0 2 30 32 60 62 90 92 120 122	920150972586
STPT(10)	2166344369951246657	0 2 30 32 42 44 54 56 84 86	1035220664556
SPT(16)	2166344480487869651	0 2 6 12 26 30 32 68 120 156 158 162 176 182 186 188	1145757287550