Prime p₀= 2813543024265250019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: JayPi
db: batch=82, k=10, 2 40 2 76 2

SPT(16)	2813542402613936431	0 12 16 18 40 42 48 58 60 70 76 78 100 102 106 118	-621651313588
STPT(10)	2813542495085141801	0 2 36 38 78 80 120 122 156 158	-529180108218
STPT(12)	2813542539132185429	0 2 60 62 90 92 240 242 270 272 330 332	-485133064590
SPT(16)	2813542551549006539	0 8 44 54 104 108 138 168 344 374 404 408 458 468 504 512	-472716243480
STPT(12)	2813542975629279431	0 2 108 110 126 128 180 182 198 200 306 308	-48635970588
STPT(10)	2813542996215989657	0 2 42 44 72 74 102 104 144 146	-28049260362
STPT(10)	2813543111535038381	0 2 36 38 78 80 120 122 156 158	87269788362
SPT(16)	2813543221043695849	0 24 34 60 70 100 108 150 178 220 228 258 268 294 304 328	196778445830
STPT(10)	2813543679490755119	0 2 18 20 30 32 42 44 60 62	655225505100
SPT(16)	2813543851857871501	0 40 42 78 120 168 238 252 256 270 340 388 430 466 468 508	827592621482
STPT(10)	2813543862136941749	0 2 12 14 30 32 48 50 60 62	837871691730