Prime p₀= 1257817823592070369 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 26 18 10 60 36 14 46 14 36 60 10 18 26 4 (?)
a_n: 0 4 30 48 58 118 154 168 214 228 264 324 334 352 378 382
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: 382
Found by: emoga
db: batch=77, k=16, 4 26 18 10 60 36 14 46

STPT(10)	1257816612554985101	0 2 48 50 108 110 168 170 216 218	-1211037085268
SPT(16)	1257816690048645019	0 10 12 34 42 60 72 90 94 112 124 142 150 172 174 184	-1133543425350
SPT(16)	1257817224612349301	0 32 42 68 90 110 116 168 200 252 258 278 300 326 336 368	-598979721068
SPT(16)	1257817295123056457	0 14 26 30 96 114 116 170 180 234 236 254 320 324 336 350	-528469013912
STPT(10)	1257817617265749611	0 2 36 38 78 80 120 122 156 158	-206326320758
STPT(10)	1257817817594832581	0 2 6 8 48 50 90 92 96 98	-5997237788
STPT(10)	1257818011484225909	0 2 12 14 90 92 168 170 180 182	187892155540
STPT(10)	1257818229621877697	0 2 54 56 72 74 90 92 144 146	406029807328
TPT(14)	1257818422047050789	0 2 30 32 78 80 90 92 198 200 228 230 258 260	598454980420
TPT(14)	1257818556041068319	0 2 48 50 258 260 282 284 462 464 522 524 600 602	732448997950
STPT(10)	1257818650125561521	0 2 6 8 48 50 90 92 96 98	826533491152