Prime p₀= 2370974765980362299 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: JonS
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2370973805899752869	0 2 12 14 30 32 48 50 60 62	-960080609430
STPT(10)	2370974100093919919	0 2 18 20 30 32 42 44 60 62	-665886442380
STPT(10)	2370974181956346467	0 2 12 14 72 74 132 134 144 146	-584024015832
SPT(16)	2370974496648338683	0 16 46 48 60 70 84 90 124 130 144 154 166 168 198 214	-269332023616
TPT(14)	2370974634775818647	0 2 90 92 132 134 162 164 210 212 270 272 312 314	-131204543652
SPT(16)	2370974638343385749	0 20 72 104 114 132 162 164 180 182 212 230 240 272 324 344	-127636976550
STPT(10)	2370974770288860521	0 2 36 38 78 80 120 122 156 158	4308498222
SPT(16)	2370974864380374841	0 10 18 36 42 52 72 102 106 136 156 166 172 190 198 208	98400012542
STPT(10)	2370974920730214047	0 2 12 14 72 74 132 134 144 146	154749851748
SPT(20)	2370975400490616961	0 48 82 132 160 172 178 216 292 318 370 396 472 510 516 528 556 606 640 688	634510254662
SPT(16)	2370975416142056993	0 38 48 146 176 216 224 234 320 330 338 378 408 506 516 554	650161694694