Prime p₀= 2708170231961534297 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: Ben
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2708169445160112289	0 10 48 54 108 118 124 144 244 264 270 280 334 340 378 388	-786801422008
SPT(16)	2708169493237397069	0 20 80 102 122 138 144 152 270 278 284 300 320 342 402 422	-738724137228
SPT(16)	2708169560534442661	0 12 28 60 72 82 100 138 172 210 228 238 250 282 298 310	-671427091636
SPT(16)	2708169569065261271	0 32 36 42 98 158 176 180 248 252 270 330 386 392 396 428	-662896273026
SPT(16)	2708169606800683703	0 18 20 54 60 80 86 116 138 168 174 194 200 234 236 254	-625160850594
STPT(10)	2708170219260324101	0 2 6 8 48 50 90 92 96 98	-12701210196
SPT(16)	2708170460252886047	0 12 26 56 80 90 144 150 266 272 326 336 360 390 404 416	228291351750
SPT(16)	2708170718949286159	0 4 72 90 100 114 130 132 142 144 160 174 184 202 270 274	486987751862
TPT(14)	2708170832308278371	0 2 108 110 138 140 240 242 336 338 348 350 366 368	600346744074
SPT(16)	2708170902303410197	0 16 70 84 124 132 136 154 162 180 184 192 232 246 300 316	670341875900
STPT(10)	2708171305488397421	0 2 30 32 78 80 126 128 156 158	1073526863124