Prime p₀= 2316579355125080369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Landjunge
db: batch=81, k=10, 2 16 2 40 2

TPT(14)	2316578457614298641	0 2 30 32 36 38 78 80 96 98 168 170 210 212	-897510781728
SPT(16)	2316578629184809931	0 6 32 56 60 90 146 182 216 252 308 338 342 366 392 398	-725940270438
STPT(10)	2316578637237813017	0 2 24 26 42 44 60 62 84 86	-717887267352
STPT(10)	2316578667846215921	0 2 36 38 78 80 120 122 156 158	-687278864448
SPT(16)	2316578696799377471	0 60 66 80 140 152 156 158 180 182 186 198 258 272 278 338	-658325702898
STPT(10)	2316579181825827869	0 2 18 20 30 32 42 44 60 62	-173299252500
STPT(10)	2316579371190782021	0 2 30 32 78 80 126 128 156 158	16065701652
SPT(16)	2316579386523703163	0 30 56 78 98 114 128 134 150 156 170 186 206 228 254 284	31398622794
STPT(10)	2316579392289676487	0 2 30 32 42 44 54 56 84 86	37164596118
STPT(10)	2316579453301298369	0 2 18 20 30 32 42 44 60 62	98176218000
STPT(10)	2316579555692791967	0 2 30 32 42 44 54 56 84 86	200567711598