Prime p₀= 1949352377435657837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Time_Traveler
db: batch=80, k=10, 2 22 2 16 2

TPT(14)	1949351119199622959	0 2 18 20 42 44 60 62 132 134 162 164 228 230	-1258236034878
SPT(16)	1949351309488138327	0 10 24 36 72 102 186 252 304 370 454 484 520 532 546 556	-1067947519510
SPT(16)	1949351311840775207	0 36 50 56 66 72 80 84 122 126 134 140 150 156 170 206	-1065594882630
STPT(10)	1949351392467337721	0 2 30 32 78 80 126 128 156 158	-984968320116
SPT(16)	1949352091524901621	0 22 42 78 82 120 126 148 180 202 208 246 250 286 306 328	-285910756216
SPT(16)	1949352375411067993	0 4 16 60 64 70 90 130 174 214 234 240 244 288 300 304	-2024589844
STPT(10)	1949352390441347789	0 2 18 20 60 62 102 104 120 122	13005689952
STPT(10)	1949352722421223421	0 2 30 32 78 80 126 128 156 158	344985565584
TPT(14)	1949354866284849797	0 2 114 116 180 182 210 212 222 224 270 272 294 296	2488849191960
SPT(16)	1949355015386821901	0 68 80 122 152 158 192 216 242 266 300 306 336 378 390 458	2637951164064
TPT(14)	1949355627686200541	0 2 36 38 78 80 108 110 150 152 210 212 300 302	3250250542704