Prime p₀= 2499891755313147623 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 44 88 12 78 38 12 22 12 38 78 12 88 44 24 (?)
a_n: 0 24 68 156 168 246 284 296 318 330 368 446 458 546 590 614
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 614
Found by: JayPi
db: batch=82, k=16, 24 44 88 12 78 38 12 22

SPT(16)	2499890717096758877	0 2 20 56 176 210 222 236 240 254 266 300 420 456 474 476	-1038216388746
STPT(10)	2499891170330528747	0 2 84 86 132 134 180 182 264 266	-584982618876
TPT(14)	2499891324648308711	0 2 96 98 150 152 306 308 336 338 360 362 366 368	-430664838912
STPT(10)	2499891563319606887	0 2 54 56 72 74 90 92 144 146	-191993540736
SPT(16)	2499891706378702829	0 8 30 32 72 120 128 138 242 252 260 308 348 350 372 380	-48934444794
STPT(10)	2499891745050692087	0 2 30 32 42 44 54 56 84 86	-10262455536
STPT(10)	2499891856375402757	0 2 30 32 72 74 114 116 144 146	101062255134
SPT(16)	2499892295705009809	0 18 22 28 58 90 102 114 148 160 172 204 234 240 244 262	540391862186
STPT(10)	2499892794631281167	0 2 30 32 42 44 54 56 84 86	1039318133544
STPT(10)	2499893262855891611	0 2 36 38 78 80 120 122 156 158	1507542743988
SPT(16)	2499893345200142911	0 52 70 78 82 166 192 220 288 316 342 426 430 438 456 508	1589886995288