Prime p₀= 1233951125420678857 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 20 16 26 18 18 48 16 48 18 18 26 16 20 34 (?)
a_n: 0 34 54 70 96 114 132 180 196 244 262 280 306 322 342 376
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: 376
Found by: Theadalus
db: batch=77, k=16, 34 20 16 26 18 18 48 16

SPT(18)	1233950195940616711	0 18 30 72 78 96 100 112 142 186 216 228 232 250 256 298 310 328	-929480062146
SPT(16)	1233950243251167823	0 16 40 64 84 106 154 156 208 210 258 280 300 324 348 364	-882169511034
SPT(16)	1233950491722041101	0 10 12 30 42 72 78 82 126 130 136 166 178 196 198 208	-633698637756
TPT(14)	1233950681919507047	0 2 114 116 270 272 432 434 462 464 480 482 504 506	-443501171810
STPT(10)	1233950948375398709	0 2 30 32 120 122 210 212 240 242	-177045280148
STPT(10)	1233951121912619987	0 2 30 32 60 62 90 92 120 122	-3508058870
STPT(10)	1233951530699375399	0 2 18 20 30 32 42 44 60 62	405278696542
SPT(16)	1233951856392533273	0 14 20 90 114 120 134 176 204 246 260 266 290 360 366 380	730971854416
SPT(16)	1233951964403276359	0 42 48 54 82 138 154 204 238 288 304 360 388 394 400 442	838982597502
STPT(10)	1233951978256428251	0 2 6 8 18 20 30 32 36 38	852835749394
STPT(10)	1233952039477913939	0 2 30 32 120 122 210 212 240 242	914057235082