Prime p₀= 2319744704867436767 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 38 16 36 14 6 40 44 40 6 14 36 16 38 6 (?)
a_n: 0 6 44 60 96 110 116 156 200 240 246 260 296 312 350 356
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: 356
Found by: [SG-2W]Kurzer
db: batch=81, k=16, 6 38 16 36 14 6 40 44

SPT(16)	2319743241603713897	0 14 32 56 156 180 186 206 270 290 296 320 420 444 462 476	-1463263722870
SPT(16)	2319743254336889981	0 12 42 80 98 110 168 186 242 260 318 330 348 386 416 428	-1450530546786
SPT(16)	2319743708107379987	0 2 14 72 114 132 144 156 200 212 224 242 284 342 354 356	-996760056780
STPT(10)	2319744241658395439	0 2 18 20 30 32 42 44 60 62	-463209041328
SPT(16)	2319744260493978599	0 30 50 74 78 138 144 152 210 218 224 284 288 312 332 362	-444373458168
STPT(10)	2319744478037290877	0 2 24 26 42 44 60 62 84 86	-226830145890
SPT(16)	2319744947194295347	0 4 114 132 156 166 210 216 220 226 270 280 304 322 432 436	242326858580
STPT(10)	2319744973413822569	0 2 18 20 30 32 42 44 60 62	268546385802
SPT(16)	2319745027638563617	0 42 96 120 144 180 226 274 312 360 406 442 466 490 544 586	322771126850
SPT(16)	2319745200362979839	0 38 48 50 92 104 114 164 168 218 228 240 282 284 294 332	495495543072
SPT(16)	2319745204668233989	0 40 48 54 64 118 132 204 208 280 294 348 358 364 372 412	499800797222