Prime p₀= 2151634642875622943 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 24 28 60 84 20 6 52 6 20 84 60 28 24 44 (?)
a_n: 0 44 68 96 156 240 260 266 318 324 344 428 488 516 540 584
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: 584
Found by: JayPi
db: batch=81, k=16, 44 24 28 60 84 20 6 52

SPT(16)	2151633235560713279	0 14 50 68 92 102 152 194 228 270 320 330 354 372 408 422	-1407314909664
STPT(10)	2151633800872545329	0 2 18 20 30 32 42 44 60 62	-842003077614
STPT(10)	2151633806437588139	0 2 18 20 30 32 42 44 60 62	-836438034804
SPT(16)	2151633998647011673	0 16 58 84 88 148 186 210 244 268 306 366 370 396 438 454	-644228611270
STPT(10)	2151634085890694771	0 2 36 38 78 80 120 122 156 158	-556984928172
TPT(14)	2151634396262084051	0 2 36 38 108 110 126 128 138 140 180 182 258 260	-246613538892
STPT(10)	2151634853745579869	0 2 42 44 60 62 78 80 120 122	210869956926
STPT(10)	2151634913853982547	0 2 12 14 42 44 72 74 84 86	270978359604
SPT(16)	2151635043043175489	0 20 42 48 60 72 98 144 158 204 230 242 254 260 282 302	400167552546
STPT(10)	2151635056201292117	0 2 30 32 42 44 54 56 84 86	413325669174
TPT(14)	2151635296882541189	0 2 12 14 18 20 192 194 198 200 210 212 228 230	654006918246