Prime p₀= 2222417291300888567 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(13)	2222415766074585239	0 60 78 90 114 120 144 168 174 198 210 228 288	-1525226303328
STPT(12)	2222415776937445379	0 2 42 44 90 92 120 122 168 170 210 212	-1514363443188
STPT(10)	2222415961326711119	0 2 12 14 30 32 48 50 60 62	-1329974177448
STPT(10)	2222416246282499159	0 2 12 14 90 92 168 170 180 182	-1045018389408
STPT(10)	2222416627837969889	0 2 18 20 30 32 42 44 60 62	-663462918678
STPT(12)	2222416709093296787	0 2 30 32 84 86 210 212 264 266 294 296	-582207591780
SPT(16)	2222418201764411641	0 28 46 72 100 106 148 156 172 180 222 228 256 282 300 328	910463523074
SPT(16)	2222418516064017707	0 24 80 140 164 192 204 230 234 260 272 300 324 384 440 464	1224763129140
STPT(10)	2222418536961633707	0 2 30 32 72 74 114 116 144 146	1245660745140
SPT(16)	2222418773133075427	0 40 136 196 240 250 256 282 304 330 336 346 390 450 546 586	1481832186860
TPT(14)	2222418836494764041	0 2 36 38 66 68 78 80 120 122 138 140 156 158	1545193875474