Prime p₀= 1427297227244065757 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 36 104 6 52 62 22 74 22 62 52 6 104 36 24 (?)
a_n: 0 24 60 164 170 222 284 306 380 402 464 516 522 626 662 686
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: 686
Found by: Steve Dodd
db: batch=78, k=16, 24 36 104 6 52 62 22 74

STPT(10)	1427296625400923267	0 2 42 44 72 74 102 104 144 146	-601843142490
STPT(10)	1427296676170704509	0 2 18 20 30 32 42 44 60 62	-551073361248
SPT(16)	1427296973271123967	0 4 24 64 106 150 174 204 262 292 316 360 402 442 462 466	-253972941790
TPT(14)	1427297017230437699	0 2 78 80 90 92 162 164 288 290 300 302 342 344	-210013628058
SPT(16)	1427297034392578463	0 8 20 24 30 38 56 74 90 108 126 134 140 144 156 164	-192851487294
STPT(10)	1427297077172085011	0 2 6 8 48 50 90 92 96 98	-150071980746
SPT(16)	1427297232085883033	0 14 38 74 80 96 116 168 176 228 248 264 270 306 330 344	4841817276
SPT(16)	1427297487973052303	0 18 38 44 60 86 98 110 144 156 168 194 210 216 236 254	260728986546
TPT(14)	1427297638960266581	0 2 6 8 96 98 186 188 198 200 336 338 378 380	411716200824
STPT(10)	1427298041818824191	0 2 30 32 78 80 126 128 156 158	814574758434
STPT(10)	1427298563339776817	0 2 30 32 42 44 54 56 84 86	1336095711060