Prime p₀= 1273714506869050451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: HenkM
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1273713664763236423	0 16 30 34 58 70 84 88 96 100 114 126 150 154 168 184	-842105814028
STPT(10)	1273713694279462991	0 2 36 38 78 80 120 122 156 158	-812589587460
SPT(16)	1273714089557345957	0 2 26 54 86 132 152 162 224 234 254 300 332 360 384 386	-417311704494
STPT(12)	1273714168321509917	0 2 30 32 72 74 90 92 132 134 162 164	-338547540534
SPT(16)	1273714275871470067	0 4 12 22 40 60 174 192 232 250 364 384 402 412 420 424	-230997580384
SPT(16)	1273714469395146227	0 12 96 116 122 144 152 182 204 234 242 264 270 290 374 386	-37473904224
SPT(16)	1273714770466536731	0 12 42 110 126 128 132 138 170 176 180 182 198 266 296 308	263597486280
SPT(16)	1273714909022922761	0 36 42 66 68 110 140 168 290 318 348 390 392 416 422 458	402153872310
SPT(16)	1273715448235329277	0 6 10 24 36 40 126 180 190 244 330 334 346 360 364 370	941366278826
STPT(10)	1273715466602653577	0 2 24 26 42 44 60 62 84 86	959733603126
SPT(16)	1273715664238295557	0 6 12 70 90 96 112 114 142 144 160 166 186 244 250 256	1157369245106