Prime p₀= 3699864186916591877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Sphynx
db: batch=84, k=10, 2 28 2 10 2

SPT(16)	3699862196092219189	0 4 42 60 102 118 130 132 310 312 324 340 382 400 438 442	-1990824372688
STPT(10)	3699862750922944811	0 2 6 8 18 20 30 32 36 38	-1435993647066
SPT(16)	3699863322459069361	0 12 46 52 58 60 66 72 166 172 178 180 186 192 226 238	-864457522516
TPT(14)	3699863675238166529	0 2 18 20 30 32 78 80 168 170 210 212 228 230	-511678425348
SPT(16)	3699863702395067227	0 10 34 40 66 130 160 172 174 186 216 280 306 312 336 346	-484521524650
STPT(10)	3699863819377498037	0 2 42 44 72 74 102 104 144 146	-367539093840
SPT(16)	3699864471804067837	0 6 30 46 100 130 160 244 252 336 366 396 450 466 490 496	284887475960
SPT(16)	3699864907719880531	0 16 48 198 202 240 256 280 288 312 328 366 370 520 552 568	720803288654
STPT(10)	3699865154864207669	0 2 18 20 30 32 42 44 60 62	967947615792
TPT(14)	3699865181650171319	0 2 30 32 78 80 90 92 120 122 168 170 210 212	994733579442
STPT(10)	3699865605743091179	0 2 42 44 150 152 258 260 300 302	1418826499302