Prime p₀= 2713581643410102181 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 78 70 30 42 26 6 16 32 16 6 26 42 30 70 78 (?)
a_n: 0 78 148 178 220 246 252 268 300 316 322 348 390 420 490 568
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: 568
Found by: Roadranner
db: batch=82, k=16, 78 70 30 42 26 6 16 32

SPT(16)	2713580706335258159	0 8 12 14 38 44 50 54 98 102 108 114 138 140 144 152	-937074844022
SPT(16)	2713580795615146913	0 44 66 110 114 120 150 198 206 254 284 290 294 338 360 404	-847794955268
STPT(10)	2713581230539098341	0 2 36 38 78 80 120 122 156 158	-412871003840
SPT(16)	2713581275461750961	0 2 66 78 80 120 126 128 150 152 158 198 200 212 276 278	-367948351220
STPT(10)	2713581405749289371	0 2 6 8 18 20 30 32 36 38	-237660812810
STPT(10)	2713581576664090799	0 2 18 20 30 32 42 44 60 62	-66746011382
STPT(10)	2713582304136460451	0 2 30 32 78 80 126 128 156 158	660726358270
SPT(16)	2713582456907995327	0 36 40 72 120 142 166 202 204 240 264 286 334 366 370 406	813497893146
SPT(16)	2713582569466760587	0 22 24 100 114 192 234 312 322 400 442 520 534 610 612 634	926056658406
SPT(16)	2713582601448400469	0 8 14 50 68 74 90 104 168 182 198 204 222 258 264 272	958038298288
TPT(14)	2713582624808318057	0 2 12 14 60 62 90 92 114 116 174 176 222 224	981398215876