Prime p₀= 4506138751097697179 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 44 24 76 6 90 14 40 14 90 6 76 24 44 30 (?)
a_n: 0 30 74 98 174 180 270 284 324 338 428 434 510 534 578 608
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: 608
Found by: [SG-2W]Kurzer
db: batch=85, k=16, 30 44 24 76 6 90 14 40

SPT(16)	4506137510494503043	0 6 10 54 108 124 154 168 226 240 270 286 340 384 388 394	-1240603194136
STPT(10)	4506137554011990971	0 2 6 8 48 50 90 92 96 98	-1197085706208
STPT(10)	4506137635829054549	0 2 42 44 60 62 78 80 120 122	-1115268642630
SPT(16)	4506137913641077333	0 118 154 156 166 180 184 204 250 270 274 288 298 300 336 454	-837456619846
SPT(16)	4506138029536493659	0 24 70 72 78 102 108 130 162 184 190 214 220 222 268 292	-721561203520
SPT(16)	4506138656610500177	0 30 50 72 74 104 120 140 204 224 240 270 272 294 314 344	-94487197002
STPT(10)	4506139146734168309	0 2 42 44 60 62 78 80 120 122	395636471130
SPT(16)	4506140014881659197	0 52 54 60 72 106 114 154 222 262 270 304 316 322 324 376	1263783962018
SPT(16)	4506140029943519939	0 2 38 54 72 74 90 104 108 122 138 140 158 174 210 212	1278845822760
STPT(10)	4506140043540219521	0 2 90 92 108 110 126 128 216 218	1292442522342
STPT(10)	4506140439573330821	0 2 6 8 48 50 90 92 96 98	1688475633642