Prime p₀= 2729652501601131019 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 16 6 80 4 20 34 38 34 20 4 80 6 16 12 (?)
a_n: 0 12 28 34 114 118 138 172 210 244 264 268 348 354 370 382
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: 382
Found by: JayPi
db: batch=82, k=16, 12 16 6 80 4 20 34 38

SPT(16)	2729650200133609351	0 30 40 46 58 60 78 106 162 190 208 210 222 228 238 268	-2301467521668
TPT(14)	2729651007941836829	0 2 30 32 90 92 240 242 270 272 300 302 312 314	-1493659294190
STPT(10)	2729651157182735759	0 2 42 44 120 122 198 200 240 242	-1344418395260
SPT(16)	2729651304381204293	0 6 38 48 54 68 84 96 98 110 126 140 146 156 188 194	-1197219926726
SPT(16)	2729651565111350107	0 4 42 54 64 70 90 142 144 196 216 222 232 244 282 286	-936489780912
SPT(16)	2729652350826013643	0 18 20 38 44 66 114 140 174 200 248 270 276 294 296 314	-150775117376
STPT(10)	2729653629419965067	0 2 30 32 42 44 54 56 84 86	1127818834048
STPT(10)	2729653685376025547	0 2 12 14 42 44 72 74 84 86	1183774894528
SPT(16)	2729654057253599317	0 4 22 24 30 36 64 66 70 72 100 106 112 114 132 136	1555652468298
SPT(16)	2729654415551445847	0 6 22 70 82 84 126 136 150 160 202 204 216 264 280 286	1913950314828
SPT(16)	2729654522506749289	0 22 30 60 130 154 174 190 222 238 258 282 352 382 390 412	2020905618270