Prime p₀= 2146985223458905799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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=80, k=10, 2 10 2 16 2

SPT(16)	2146984069522571897	0 36 92 114 120 126 134 156 170 192 200 206 212 234 290 326	-1153936333902
STPT(10)	2146984213463036417	0 2 30 32 42 44 54 56 84 86	-1009995869382
STPT(10)	2146984590627642287	0 2 30 32 42 44 54 56 84 86	-632831263512
SPT(16)	2146984681365587131	0 18 22 102 112 136 150 168 190 208 222 246 256 336 340 358	-542093318668
SPT(16)	2146984748555075509	0 40 42 58 70 120 124 198 244 318 322 372 384 400 402 442	-474903830290
SPT(16)	2146984998662165723	0 24 68 78 98 110 138 164 234 260 288 300 320 330 374 398	-224796740076
SPT(16)	2146985281081697041	0 46 60 82 130 150 166 192 196 222 238 258 306 328 342 388	57622791242
STPT(10)	2146985344875372899	0 2 18 20 30 32 42 44 60 62	121416467100
STPT(10)	2146985435118946151	0 2 36 38 78 80 120 122 156 158	211660040352
STPT(10)	2146985889859669667	0 2 54 56 72 74 90 92 144 146	666400763868
SPT(16)	2146985892887966749	0 22 24 40 58 82 108 120 142 154 180 204 222 238 240 262	669429060950