Prime p₀= 2068663698347827687 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 20 6 4 14 52 18 2 18 52 14 4 6 20 10 (?)
a_n: 0 10 30 36 40 54 106 124 126 144 196 210 214 220 240 250
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: 250
Found by: Landjunge
db: batch=80, k=16, 10 20 6 4 14 52 18 2

SPT(16)	2068661693682846203	0 36 50 56 78 126 144 146 168 170 188 236 258 264 278 314	-2004664981484
SPT(16)	2068662017660011883	0 30 50 54 110 120 126 218 246 338 344 354 410 414 434 464	-1680687815804
STPT(10)	2068662458129698307	0 2 30 32 60 62 90 92 120 122	-1240218129380
SPT(16)	2068663409207153581	0 12 70 72 88 102 132 138 160 166 196 210 226 228 286 298	-289140674106
TPT(14)	2068663538257638989	0 2 30 32 78 80 102 104 132 134 240 242 330 332	-160090188698
STPT(10)	2068663572069716261	0 2 6 8 48 50 90 92 96 98	-126278111426
STPT(10)	2068663741689382379	0 2 12 14 90 92 168 170 180 182	43341554692
STPT(10)	2068663890265848047	0 2 30 32 42 44 54 56 84 86	191918020360
SPT(16)	2068663956831880013	0 8 36 78 140 170 228 266 498 536 594 624 686 728 756 764	258484052326
SPT(16)	2068664025624972253	0 34 46 70 90 100 190 196 234 240 330 340 360 384 396 430	327277144566
STPT(12)	2068664265831977069	0 2 12 14 18 20 42 44 48 50 60 62	567484149382