Prime p₀= 1337566818701270387 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: Skivelitis2
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1337566219710535729	0 4 40 70 84 94 162 172 210 220 288 298 312 342 378 382	-598990734658
SPT(16)	1337566240681936219	0 58 64 114 162 204 208 250 282 324 328 370 418 468 474 532	-578019334168
SPT(16)	1337566354060161457	0 12 22 46 60 66 102 124 192 214 250 256 270 294 304 316	-464641108930
SPT(16)	1337566429284964663	0 4 30 70 88 114 120 168 226 274 280 306 324 364 390 394	-389416305724
STPT(10)	1337566511213446607	0 2 30 32 60 62 90 92 120 122	-307487823780
STPT(10)	1337566646342646491	0 2 36 38 78 80 120 122 156 158	-172358623896
STPT(10)	1337566939230434147	0 2 42 44 72 74 102 104 144 146	120529163760
SPT(16)	1337567037706189039	0 40 58 60 70 100 138 142 150 154 192 222 232 234 252 292	219004918652
STPT(10)	1337567083707052997	0 2 30 32 42 44 54 56 84 86	265005782610
TPT(14)	1337567385438120827	0 2 12 14 42 44 72 74 144 146 180 182 222 224	566736850440
SPT(16)	1337567588018910161	0 30 60 62 78 96 140 188 210 258 302 320 336 338 368 398	769317639774