Prime p₀= 2166351437322229439 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Penguin
db: batch=81, k=10, 2 40 2 16 2

STPT(10)	2166350068095533231	0 2 6 8 18 20 30 32 36 38	-1369226696208
SPT(16)	2166350069872548871	0 6 10 22 28 90 100 108 160 168 178 240 246 258 262 268	-1367449680568
STPT(10)	2166350428859728091	0 2 36 38 78 80 120 122 156 158	-1008462501348
STPT(10)	2166350576916866279	0 2 18 20 30 32 42 44 60 62	-860405363160
TPT(14)	2166350588431179341	0 2 36 38 48 50 78 80 90 92 120 122 240 242	-848891050098
SPT(16)	2166350633429507047	0 24 42 54 64 66 130 136 180 186 250 252 262 274 292 316	-803892722392
SPT(16)	2166351615756231119	0 24 38 60 104 168 170 188 210 228 230 294 338 360 374 398	178434001680
SPT(16)	2166353180855918071	0 66 70 96 118 166 168 180 238 250 252 300 322 348 352 418	1743533688632
STPT(10)	2166353560483206761	0 2 6 8 18 20 30 32 36 38	2123160977322
SPT(16)	2166354044594845603	0 10 36 78 88 154 156 198 226 268 270 336 346 388 414 424	2607272616164
STPT(10)	2166354641265666737	0 2 12 14 42 44 72 74 84 86	3203943437298