Prime p₀= 2396277774764885909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2396276233320622469	0 92 98 102 200 218 222 230 300 308 312 330 428 432 438 530	-1541444263440
STPT(10)	2396276401800780839	0 2 18 20 30 32 42 44 60 62	-1372964105070
STPT(10)	2396276542668939941	0 2 6 8 48 50 90 92 96 98	-1232095945968
SPT(16)	2396276813319326857	0 6 52 72 90 100 142 150 166 174 216 226 244 264 310 316	-961445559052
SPT(16)	2396277226239117503	0 18 36 60 78 84 104 146 198 240 260 266 284 308 326 344	-548525768406
SPT(18)	2396277515543638421	0 6 32 36 92 102 116 120 140 162 182 186 200 210 266 270 296 302	-259221247488
SPT(13)	2396278360832397793	0 24 30 78 90 168 204 240 318 330 378 384 408	586067511884
SPT(16)	2396278855869598477	0 4 30 66 100 126 136 162 214 240 250 276 310 346 372 376	1081104712568
SPT(16)	2396278863372596863	0 16 58 66 78 90 100 150 166 216 226 238 250 258 300 316	1088607710954
SPT(16)	2396278919770321219	0 28 30 54 138 142 148 204 208 264 270 274 358 382 384 412	1145005435310
STPT(10)	2396280059717282309	0 2 18 20 30 32 42 44 60 62	2284952396400