Prime p₀= 2506443099068481907 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 8 6 16 36 24 8 58 8 24 36 16 6 8 46 (?)
a_n: 0 46 54 60 76 112 136 144 202 210 234 270 286 292 300 346
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: 346
Found by: JayPi
db: batch=82, k=16, 46 8 6 16 36 24 8 58

STPT(10)	2506442006015513897	0 2 60 62 102 104 144 146 204 206	-1093052968010
SPT(16)	2506442257556206811	0 20 36 86 98 158 176 200 228 252 270 330 342 392 408 428	-841512275096
STPT(12)	2506442535040443539	0 2 12 14 72 74 78 80 138 140 150 152	-564028038368
TPT(14)	2506442629368491327	0 2 24 26 54 56 252 254 372 374 414 416 462 464	-469699990580
STPT(10)	2506442869933682369	0 2 18 20 30 32 42 44 60 62	-229134799538
SPT(16)	2506442886991227271	0 28 70 76 90 112 118 132 136 150 156 178 192 198 240 268	-212077254636
SPT(16)	2506443716326182023	0 14 24 44 68 74 108 150 158 200 234 240 264 284 294 308	617257700116
SPT(16)	2506443820180374259	0 28 54 64 72 78 82 94 168 180 184 190 198 208 234 262	721111892352
SPT(16)	2506443889283805169	0 52 70 90 112 114 124 142 150 168 178 180 202 222 240 292	790215323262
STPT(10)	2506443946344257807	0 2 30 32 42 44 54 56 84 86	847275775900
SPT(16)	2506444307582636797	0 22 46 70 192 234 256 276 400 420 442 484 606 630 654 676	1208514154890