Prime p₀= 2726363624233744049 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: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2726362629566421907	0 22 24 36 46 66 84 112 144 172 190 210 220 232 234 256	-994667322142
STPT(10)	2726362718146611959	0 2 18 20 30 32 42 44 60 62	-906087132090
SPT(16)	2726362757353608679	0 10 18 70 78 88 108 160 180 232 252 262 270 322 330 340	-866880135370
SPT(16)	2726363092442398483	0 16 18 34 40 46 90 114 130 154 198 204 210 226 228 244	-531791345566
SPT(16)	2726363254032375499	0 10 12 40 90 132 208 220 222 234 310 352 402 430 432 442	-370201368550
STPT(10)	2726363312400969347	0 2 30 32 42 44 54 56 84 86	-311832774702
SPT(16)	2726363784097867027	0 46 72 102 112 132 156 162 184 190 214 234 244 274 300 346	159864122978
STPT(10)	2726364062073890219	0 2 42 44 60 62 78 80 120 122	437840146170
TPT(14)	2726364214747830779	0 2 78 80 90 92 150 152 168 170 180 182 192 194	590514086730
SPT(16)	2726364979733034359	0 18 80 84 102 108 168 234 368 434 494 500 518 522 584 602	1355499290310
SPT(16)	2726365677905705533	0 10 90 126 136 180 208 220 234 246 274 318 328 364 444 454	2053671961484