Prime p₀= 2343333840582238409 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 6 46 14 10 26 28 2 28 26 10 14 46 6 38 (?)
a_n: 0 38 44 90 104 114 140 168 170 198 224 234 248 294 300 338
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: 338
Found by: ChUcK
db: batch=81, k=16, 38 6 46 14 10 26 28 2

SPT(16)	2343331851749023253	0 24 44 66 86 104 150 156 158 164 210 228 248 270 290 314	-1988833215156
SPT(16)	2343332120317413223	0 60 66 84 88 124 126 130 144 148 150 186 190 208 214 274	-1720264825186
SPT(16)	2343332343230306861	0 38 80 90 108 122 182 188 192 198 258 272 290 300 342 380	-1497351931548
SPT(16)	2343332507557490279	0 12 20 48 90 98 120 134 138 152 174 182 224 252 260 272	-1333024748130
SPT(16)	2343333202112165047	0 12 42 66 114 126 130 156 220 246 250 262 310 334 364 376	-638470073362
SPT(16)	2343333331760070367	0 42 60 64 84 124 202 252 292 342 420 460 480 484 502 544	-508822168042
STPT(10)	2343334058728832381	0 2 36 38 78 80 120 122 156 158	218146593972
SPT(16)	2343334064862850879	0 72 78 100 138 184 204 232 330 358 378 424 462 484 490 562	224280612470
SPT(16)	2343334205583838531	0 18 60 88 120 148 150 172 228 250 252 280 312 340 382 400	365001600122
SPT(16)	2343334321188482491	0 16 46 58 60 108 160 178 210 228 280 328 330 342 372 388	480606244082
SPT(16)	2343334759947055517	0 14 26 90 102 152 222 242 264 284 354 404 416 480 492 506	919364817108