Prime p₀= 2315725418258441219 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2315724723274544081	0 26 42 90 96 110 146 152 156 162 198 212 218 266 282 308	-694983897138
TPT(14)	2315724743895667787	0 2 12 14 42 44 60 62 90 92 114 116 144 146	-674362773432
STPT(10)	2315725090182906299	0 2 18 20 60 62 102 104 120 122	-328075534920
SPT(16)	2315725234147279217	0 74 92 102 134 152 162 222 224 284 294 312 344 354 372 446	-184111162002
SPT(16)	2315725306128242609	0 2 72 90 104 122 210 234 338 362 450 468 482 500 570 572	-112130198610
SPT(16)	2315725317006453943	0 16 34 96 114 204 216 226 264 274 286 376 394 456 474 490	-101251987276
SPT(16)	2315726034932601131	0 12 38 60 78 80 140 150 170 180 240 242 260 282 308 320	616674159912
SPT(16)	2315726243401134229	0 24 30 42 72 78 108 124 138 154 184 190 220 232 238 262	825142693010
STPT(10)	2315726631842082461	0 2 30 32 60 62 90 92 120 122	1213583641242
STPT(10)	2315727184228266671	0 2 30 32 78 80 126 128 156 158	1765969825452
TPT(14)	2315727854785800179	0 2 30 32 48 50 60 62 90 92 132 134 138 140	2436527358960