Prime p₀= 1239576387166728953 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 4 8 34 36 72 32 34 32 72 36 34 8 4 14 (?)
a_n: 0 14 18 26 60 96 168 200 234 266 338 374 408 416 420 434
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: 434
Found by: Theadalus
db: batch=77, k=16, 14 4 8 34 36 72 32 34

SPT(16)	1239574529955174977	0 6 42 102 126 134 144 146 210 212 222 230 254 314 350 356	-1857211553976
STPT(10)	1239574758802600271	0 2 6 8 18 20 30 32 36 38	-1628364128682
STPT(10)	1239575276774662097	0 2 54 56 132 134 210 212 264 266	-1110392066856
TPT(14)	1239575408508537647	0 2 24 26 54 56 72 74 84 86 120 122 150 152	-978658191306
SPT(16)	1239576169551070991	0 26 56 78 96 98 168 210 248 290 360 362 380 402 432 458	-217615657962
SPT(16)	1239576325953401929	0 10 30 48 52 70 160 238 282 360 450 468 472 490 510 520	-61213327024
STPT(10)	1239576578647918367	0 2 84 86 132 134 180 182 264 266	191481189414
STPT(10)	1239576820868515271	0 2 6 8 18 20 30 32 36 38	433701786318
STPT(10)	1239576878820500399	0 2 12 14 90 92 168 170 180 182	491653771446
STPT(10)	1239577465802604737	0 2 30 32 42 44 54 56 84 86	1078635875784
SPT(16)	1239577503036019727	0 12 26 54 110 126 140 144 152 156 170 186 242 270 284 296	1115869290774