Prime p₀= 2159534612680158809 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2159533419230220793	0 60 84 96 106 126 130 154 240 264 268 288 298 310 334 394	-1193449938016
STPT(10)	2159534322844473329	0 2 18 20 30 32 42 44 60 62	-289835685480
SPT(16)	2159534362596885511	0 12 18 30 70 72 100 130 138 168 196 198 238 250 256 268	-250083273298
STPT(10)	2159534537226786581	0 2 36 38 78 80 120 122 156 158	-75453372228
SPT(16)	2159534545552440019	0 34 40 54 88 108 150 234 358 442 484 504 538 552 558 592	-67127718790
SPT(16)	2159534608811399059	0 22 48 78 94 132 160 190 282 312 340 378 394 424 450 472	-3868759750
STPT(10)	2159535461697881957	0 2 30 32 42 44 54 56 84 86	849017723148
SPT(16)	2159535550325724667	0 6 10 12 40 42 82 136 150 204 244 246 274 276 280 286	937645565858
STPT(10)	2159535616074440039	0 2 42 44 60 62 78 80 120 122	1003394281230
SPT(16)	2159535638422361623	0 34 36 54 78 88 90 100 144 154 156 166 190 208 210 244	1025742202814
STPT(10)	2159536036783379867	0 2 30 32 42 44 54 56 84 86	1424103221058