Prime p₀= 1069466126975054951 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: Fardringle
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1069464568868511457	0 6 24 52 70 82 90 126 130 166 174 186 204 232 250 256	-1558106543494
SPT(16)	1069464715885995049	0 52 60 84 90 130 192 208 264 280 342 382 388 412 420 472	-1411089059902
SPT(16)	1069464844216339463	0 6 18 36 44 78 98 126 188 216 236 270 278 296 308 314	-1282758715488
SPT(16)	1069464940710310279	0 10 48 70 120 142 154 174 178 198 210 232 282 304 342 352	-1186264744672
STPT(10)	1069465364978878067	0 2 12 14 72 74 132 134 144 146	-761996176884
STPT(10)	1069465904969756027	0 2 30 32 42 44 54 56 84 86	-222005298924
SPT(16)	1069466584558092463	0 28 30 36 66 78 94 150 184 240 256 268 298 304 306 334	457583037512
TPT(14)	1069466861939328971	0 2 30 32 60 62 96 98 180 182 186 188 306 308	734964274020
STPT(10)	1069467176617573577	0 2 30 32 42 44 54 56 84 86	1049642518626
SPT(16)	1069467255848143561	0 58 70 100 148 178 216 378 400 562 600 630 678 708 720 778	1128873088610
STPT(10)	1069467338652944051	0 2 6 8 18 20 30 32 36 38	1211677889100