Prime p₀= 3006147487333100951 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 4 24 74 10 12 30 44 30 12 10 74 24 4 38 (?)
a_n: 0 38 42 66 140 150 162 192 236 266 278 288 362 386 390 428
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: 428
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 38 4 24 74 10 12 30 44

SPT(16)	3006146550117740009	0 12 60 68 80 84 102 248 354 500 518 522 534 542 590 602	-937215360942
SPT(16)	3006146579791936937	0 12 14 24 44 56 66 96 140 170 180 192 212 222 224 236	-907541164014
SPT(16)	3006146713132321301	0 56 60 72 110 126 132 168 200 236 242 258 296 308 312 368	-774200779650
SPT(16)	3006146772876033491	0 12 20 68 90 122 168 188 222 242 288 320 342 390 398 410	-714457067460
STPT(10)	3006146978397236519	0 2 18 20 30 32 42 44 60 62	-508935864432
STPT(10)	3006147384651121169	0 2 42 44 90 92 138 140 180 182	-102681979782
STPT(10)	3006147918318272549	0 2 48 50 90 92 132 134 180 182	430985171598
SPT(16)	3006148432836117637	0 52 76 94 112 132 160 190 216 246 274 294 312 330 354 406	945503016686
STPT(10)	3006148501808415581	0 2 36 38 78 80 120 122 156 158	1014475314630
STPT(12)	3006148934657851859	0 2 30 32 42 44 48 50 60 62 90 92	1447324750908
TPT(14)	3006149296217547449	0 2 30 32 90 92 132 134 210 212 222 224 300 302	1808884446498