Prime p₀= 2356697738179534693 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 16 50 34 18 12 50 16 2 16 50 12 18 34 50 16 (?)
a_n: 0 16 66 100 118 130 180 196 198 214 264 276 294 328 378 394
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: 394
Found by: Landjunge
db: batch=81, k=16, 16 50 34 18 12 50 16 2

SPT(16)	2356695742717176137	0 30 32 84 90 102 104 182 342 420 422 434 440 492 494 524	-1995462358556
SPT(16)	2356696427724873151	0 10 12 36 40 46 88 100 108 120 162 168 172 196 198 208	-1310454661542
SPT(16)	2356696466774184133	0 48 60 88 118 130 166 180 316 330 366 378 408 436 448 496	-1271405350560
STPT(12)	2356696929004271801	0 2 6 8 48 50 78 80 120 122 126 128	-809175262892
SPT(16)	2356696954455194161	0 12 46 72 76 88 96 118 180 202 210 222 226 252 286 298	-783724340532
TPT(14)	2356697515809235607	0 2 114 116 192 194 240 242 282 284 402 404 462 464	-222370299086
STPT(10)	2356698025245913211	0 2 36 38 78 80 120 122 156 158	287066378518
SPT(16)	2356698083273903843	0 14 18 48 60 146 168 200 234 266 288 374 386 416 420 434	345094369150
STPT(10)	2356698349091400071	0 2 6 8 18 20 30 32 36 38	610911865378
SPT(16)	2356698475672274509	0 52 54 100 112 124 130 168 184 222 228 240 252 298 300 352	737492739816
STPT(10)	2356698573321080531	0 2 6 8 48 50 90 92 96 98	835141545838