Prime p₀= 2451628283254325003 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 6 60 14 10 8 40 18 8 16 8 18 40 8 10 14 60 6 (?)
a_n: 0 6 66 80 90 98 138 156 164 180 188 206 246 254 264 278 338 344
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 344
Found by: JayPi
db: batch=82, k=18, 6 60 14 10 8 40 18 8 16

SPT(16)	2451627350492376977	0 20 50 56 86 180 204 254 306 356 380 474 504 510 540 560	-932761948026
SPT(16)	2451627402750922499	0 12 50 80 98 108 162 174 278 290 344 354 372 402 440 452	-880503402504
STPT(10)	2451628128103491431	0 2 6 8 48 50 90 92 96 98	-155150833572
TPT(14)	2451628171541397839	0 2 12 14 18 20 72 74 90 92 168 170 258 260	-111712927164
SPT(16)	2451628233888156403	0 28 66 78 84 100 108 124 150 166 174 190 196 208 246 274	-49366168600
STPT(10)	2451628282412309027	0 2 30 32 42 44 54 56 84 86	-842015976
STPT(10)	2451628808257416839	0 2 18 20 30 32 42 44 60 62	525003091836
TPT(14)	2451628908537832031	0 2 138 140 240 242 318 320 360 362 378 380 456 458	625283507028
SPT(16)	2451629140304750143	0 28 64 78 90 100 124 168 190 234 258 268 280 294 330 358	857050425140
STPT(10)	2451629310272910809	0 2 18 20 30 32 42 44 60 62	1027018585806
SPT(16)	2451629551390046023	0 16 24 40 58 76 78 106 168 196 198 216 234 250 258 274	1268135721020