Prime p₀= 1362867029139081647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: emoga
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1362865244454602741	0 20 32 42 62 72 110 132 248 270 308 318 338 348 360 380	-1784684478906
SPT(16)	1362865283696433089	0 14 42 60 62 110 140 152 222 234 264 312 314 332 360 374	-1745442648558
STPT(10)	1362865286290625147	0 2 30 32 60 62 90 92 120 122	-1742848456500
STPT(10)	1362865376012981051	0 2 30 32 78 80 126 128 156 158	-1653126100596
STPT(10)	1362865775046224567	0 2 24 26 42 44 60 62 84 86	-1254092857080
SPT(16)	1362866336858810327	0 14 60 84 102 152 162 186 200 224 234 284 302 326 372 386	-692280271320
SPT(16)	1362867359810558869	0 24 28 54 78 94 190 220 222 252 348 364 388 414 418 442	330671477222
TPT(14)	1362867838066596599	0 2 12 14 78 80 90 92 138 140 180 182 192 194	808927514952
TPT(14)	1362867975932653457	0 2 12 14 54 56 114 116 150 152 180 182 210 212	946793571810
STPT(10)	1362868405218610229	0 2 30 32 60 62 90 92 120 122	1376079528582
SPT(16)	1362868434672569479	0 12 28 40 42 88 102 142 198 238 252 298 300 312 328 340	1405533487832