Prime p₀= 1242650095779295513 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 42 88 14 6 34 56 22 56 34 6 14 88 42 6 (?)
a_n: 0 6 48 136 150 156 190 246 268 324 358 364 378 466 508 514
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: 514
Found by: Cruncher Pete
db: batch=77, k=16, 6 42 88 14 6 34 56 22

STPT(10)	1242649463901276251	0 2 6 8 18 20 30 32 36 38	-631878019262
STPT(10)	1242649466473407539	0 2 30 32 180 182 330 332 360 362	-629305887974
STPT(10)	1242649546678918949	0 2 18 20 30 32 42 44 60 62	-549100376564
SPT(16)	1242649562049328033	0 18 28 40 94 108 126 144 160 178 196 210 264 276 286 304	-533729967480
SPT(16)	1242649845049914859	0 12 42 48 64 112 130 132 160 162 180 228 244 250 280 292	-250729380654
SPT(16)	1242650001448430461	0 12 22 42 60 76 102 130 168 196 222 238 256 276 286 298	-94330865052
STPT(10)	1242650123066746451	0 2 36 38 78 80 120 122 156 158	27287450938
STPT(10)	1242650779832008577	0 2 30 32 60 62 90 92 120 122	684052713064
STPT(10)	1242650909211119867	0 2 30 32 42 44 54 56 84 86	813431824354
STPT(12)	1242650961819587819	0 2 48 50 78 80 90 92 120 122 168 170	866040292306
SPT(16)	1242651602356174981	0 6 10 46 202 330 412 438 490 516 598 726 882 918 922 928	1506576879468