Prime p₀= 1024716141822689311 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 2 18 24 6 40 68 16 68 40 6 24 18 2 28 (?)
a_n: 0 28 30 48 72 78 118 186 202 270 310 316 340 358 360 388
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: 388
Found by: HenkM
db: batch=76, k=16, 28 2 18 24 6 40 68 16

SPT(16)	1024714766381797507	0 16 34 46 64 70 150 162 184 196 276 282 300 312 330 346	-1375440891804
STPT(10)	1024714795391829977	0 2 30 32 42 44 54 56 84 86	-1346430859334
STPT(10)	1024715102721250901	0 2 36 38 78 80 120 122 156 158	-1039101438410
STPT(10)	1024715330162831441	0 2 36 38 78 80 120 122 156 158	-811659857870
TPT(14)	1024716074877062807	0 2 252 254 282 284 390 392 462 464 492 494 534 536	-66945626504
STPT(12)	1024716124349480669	0 2 12 14 72 74 78 80 138 140 150 152	-17473208642
SPT(16)	1024716734592251803	0 16 34 76 84 156 160 226 264 330 334 406 414 456 474 490	592769562492
STPT(10)	1024717023438465347	0 2 12 14 42 44 72 74 84 86	881615776036
SPT(16)	1024717530331314899	0 8 14 24 30 62 80 98 114 132 150 182 188 198 204 212	1388508625588
STPT(10)	1024717852735230131	0 2 30 32 78 80 126 128 156 158	1710912540820
SPT(16)	1024718223252554177	0 20 54 62 90 114 120 152 162 194 200 224 252 260 294 314	2081429864866