Prime p₀= 1245821394575773199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1245820524390764219	0 2 18 20 30 32 42 44 60 62	-870185008980
TPT(14)	1245820584143847407	0 2 12 14 54 56 150 152 180 182 192 194 222 224	-810431925792
SPT(16)	1245820836549676357	0 10 70 106 120 126 130 150 256 276 280 286 300 336 396 406	-558026096842
SPT(16)	1245820885873013599	0 28 58 84 88 100 118 120 142 144 162 174 178 204 234 262	-508702759600
SPT(16)	1245821164432027133	0 38 44 80 90 96 108 114 140 146 158 164 174 210 216 254	-230143746066
TPT(14)	1245821235492009089	0 2 132 134 168 170 198 200 222 224 258 260 342 344	-159083764110
SPT(16)	1245821408181807019	0 28 78 84 114 132 160 162 190 192 220 238 268 274 324 352	13606033820
SPT(16)	1245821489561110841	0 2 12 18 30 80 96 150 158 212 228 278 290 296 306 308	94985337642
SPT(16)	1245821788556270449	0 18 54 60 118 172 174 184 198 208 210 264 322 328 364 382	393980497250
STPT(10)	1245821964963576797	0 2 30 32 42 44 54 56 84 86	570387803598
SPT(16)	1245822011048596979	0 2 8 32 44 90 114 128 144 158 182 228 240 264 270 272	616472823780