Prime p₀= 3011142069248587999 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 14 28 2 70 116 12 40 12 116 70 2 28 14 40 (?)
a_n: 0 40 54 82 84 154 270 282 322 334 450 520 522 550 564 604
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: 604
Found by: JayPi
db: batch=82, k=16, 40 14 28 2 70 116 12 40

SPT(16)	3011141044011542329	0 4 54 72 84 88 108 130 222 244 264 268 280 298 348 352	-1025237045670
STPT(10)	3011141307514684367	0 2 90 92 102 104 114 116 204 206	-761733903632
STPT(10)	3011141542030468571	0 2 6 8 48 50 90 92 96 98	-527218119428
STPT(10)	3011141573053718021	0 2 30 32 78 80 126 128 156 158	-496194869978
SPT(16)	3011141682297448019	0 8 74 80 140 144 192 218 234 260 308 312 372 378 444 452	-386951139980
TPT(14)	3011141767997921651	0 2 30 32 36 38 60 62 156 158 186 188 198 200	-301250666348
SPT(16)	3011142248158467187	0 4 10 34 46 100 114 142 144 172 186 240 252 276 282 286	178909879188
STPT(10)	3011142762086239127	0 2 12 14 42 44 72 74 84 86	692837651128
STPT(10)	3011142839897312297	0 2 60 62 102 104 144 146 204 206	770648724298
STPT(10)	3011142848529869309	0 2 12 14 90 92 168 170 180 182	779281281310
SPT(16)	3011142861770858729	0 54 78 84 102 120 162 230 342 410 452 470 488 494 518 572	792522270730