Prime p₀= 2159765294352192809 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2159764307875780937	0 14 44 66 86 90 146 216 224 294 350 354 374 396 426 440	-986476411872
SPT(16)	2159764906998740851	0 28 108 120 148 150 162 172 186 196 208 210 238 250 330 358	-387353451958
SPT(18)	2159764959203336711	0 20 42 50 56 108 162 198 228 230 260 296 350 402 408 416 438 458	-335148856098
SPT(16)	2159764959864101479	0 30 54 58 94 180 190 220 252 282 292 378 414 418 442 472	-334488091330
SPT(16)	2159764987611484003	0 6 46 66 108 144 148 150 154 156 160 196 238 258 298 304	-306740708806
SPT(16)	2159765250971435707	0 34 36 46 52 70 96 106 150 160 186 204 210 220 222 256	-43380757102
SPT(16)	2159765563290966991	0 6 42 142 192 196 222 226 276 280 306 310 360 460 496 502	268938774182
STPT(10)	2159765848243384991	0 2 30 32 78 80 126 128 156 158	553891192182
STPT(10)	2159766723114905657	0 2 30 32 42 44 54 56 84 86	1428762712848
SPT(16)	2159767734632318563	0 18 60 70 78 84 210 228 250 268 394 400 408 418 460 478	2440280125754
STPT(10)	2159767736733854279	0 2 42 44 90 92 138 140 180 182	2442381661470