Prime p₀= 2724730836971774083 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 2 10 14 6 4 6 62 6 4 6 14 10 2 34 (?)
a_n: 0 34 36 46 60 66 70 76 138 144 148 154 168 178 180 214
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: 214
Found by: Roadranner
db: batch=82, k=16, 34 2 10 14 6 4 6 62

SPT(16)	2724728807461699769	0 42 68 92 132 162 194 230 252 288 320 350 390 414 440 482	-2029510074314
STPT(10)	2724729634443313037	0 2 30 32 72 74 114 116 144 146	-1202528461046
SPT(16)	2724730093194135701	0 8 56 78 90 98 120 126 140 146 168 176 188 210 258 266	-743777638382
SPT(16)	2724730318386368473	0 24 46 100 150 228 258 298 306 346 376 454 504 558 580 604	-518585405610
STPT(10)	2724730446873703319	0 2 18 20 30 32 42 44 60 62	-390098070764
SPT(16)	2724730603975925599	0 22 82 112 172 192 204 220 222 238 250 270 330 360 420 442	-232995848484
STPT(10)	2724731198535243347	0 2 90 92 102 104 114 116 204 206	361563469264
STPT(10)	2724731819570347967	0 2 30 32 120 122 210 212 240 242	982598573884
SPT(16)	2724732087240431087	0 14 72 84 140 180 186 200 276 290 296 336 392 404 462 476	1250268657004
SPT(16)	2724732114289977569	0 12 38 42 78 98 140 150 152 162 204 224 260 264 290 302	1277318203486
SPT(16)	2724732396093704551	0 10 36 58 70 76 106 126 142 162 192 198 210 232 258 268	1559121930468