Prime p₀= 2398537052000735333 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 6 68 18 12 12 10 14 10 12 12 18 68 6 24 (?)
a_n: 0 24 30 98 116 128 140 150 164 174 186 198 216 284 290 314
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: 314
Found by: JayPi
db: batch=82, k=16, 24 6 68 18 12 12 10 14

SPT(16)	2398535917479178319	0 24 38 50 84 98 120 134 138 152 174 188 222 234 248 272	-1134521557014
SPT(16)	2398536070183427639	0 90 92 98 122 134 192 204 218 230 288 300 324 330 332 422	-981817307694
SPT(16)	2398536427532467769	0 68 72 78 110 114 144 170 192 218 248 252 284 290 294 362	-624468267564
TPT(14)	2398536542621016689	0 2 12 14 78 80 90 92 168 170 192 194 222 224	-509379718644
STPT(12)	2398536890310023249	0 2 12 14 42 44 48 50 78 80 90 92	-161690712084
SPT(16)	2398537043385592309	0 30 48 72 90 100 118 144 238 264 282 292 310 334 352 382	-8615143024
STPT(10)	2398537129774155191	0 2 6 8 48 50 90 92 96 98	77773419858
STPT(10)	2398537358969968421	0 2 6 8 18 20 30 32 36 38	306969233088
SPT(16)	2398537423818276253	0 30 60 78 88 144 148 168 316 336 340 396 406 424 454 484	371817540920
STPT(10)	2398537540266133697	0 2 12 14 72 74 132 134 144 146	488265398364
SPT(16)	2398538232510615911	0 60 132 228 258 282 300 312 368 380 398 422 452 548 620 680	1180509880578