Prime p₀= 2677257682199498639 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 30 36 14 10 14 42 22 42 14 10 14 36 30 24 (?)
a_n: 0 24 54 90 104 114 128 170 192 234 248 258 272 308 338 362
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: 362
Found by: JayPi
db: batch=82, k=16, 24 30 36 14 10 14 42 22

SPT(16)	2677256888328503141	0 6 20 38 56 66 68 72 146 150 152 162 180 198 212 218	-793870995498
SPT(16)	2677256929144949407	0 34 84 166 174 190 196 240 256 300 306 322 330 412 462 496	-753054549232
STPT(10)	2677257010091098619	0 2 18 20 30 32 42 44 60 62	-672108400020
SPT(20)	2677257108847793047	0 30 34 72 142 186 196 202 210 234 262 286 294 300 310 354 424 462 466 496	-573351705592
STPT(12)	2677257134820827087	0 2 12 14 42 44 60 62 90 92 102 104	-547378671552
SPT(16)	2677257507854869769	0 74 92 102 114 152 180 200 264 284 312 350 362 372 390 464	-174344628870
SPT(16)	2677257842608874689	0 64 82 114 180 250 258 264 268 274 282 352 418 450 468 532	160409376050
STPT(10)	2677258257452518841	0 2 6 8 48 50 90 92 96 98	575253020202
SPT(16)	2677258334450246347	0 10 36 40 66 94 100 106 114 120 126 154 180 184 210 220	652250747708
SPT(16)	2677258421951084207	0 54 56 60 120 126 140 152 234 246 260 266 326 330 332 386	739751585568
STPT(12)	2677258462459208807	0 2 12 14 54 56 60 62 102 104 114 116	780259710168