Prime p₀= 1262343626741569439 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 72 4 14 52 14 36 28 36 14 52 14 4 72 68 (?)
a_n: 0 68 140 144 158 210 224 260 288 324 338 390 404 408 480 548
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: 548
Found by: Coleslaw
db: batch=77, k=16, 68 72 4 14 52 14 36 28

SPT(16)	1262341594303619309	0 72 102 132 168 174 182 254 258 330 338 344 380 410 440 512	-2032437950130
STPT(10)	1262341670641961849	0 2 18 20 30 32 42 44 60 62	-1956099607590
TPT(14)	1262343007577083559	0 2 30 32 78 80 108 110 150 152 282 284 288 290	-619164485880
STPT(10)	1262343081240817781	0 2 6 8 18 20 30 32 36 38	-545500751658
SPT(16)	1262343516044345513	0 8 38 44 56 140 176 186 188 198 234 318 330 336 366 374	-110697223926
STPT(12)	1262343525630758537	0 2 30 32 42 44 180 182 192 194 222 224	-101110810902
SPT(16)	1262343778041029653	0 6 16 28 84 88 100 106 138 144 156 160 216 228 238 244	151299460214
SPT(16)	1262343934838673413	0 20 74 84 86 110 116 126 158 168 174 198 200 210 264 284	308097103974
SPT(16)	1262344189568201447	0 14 32 54 80 120 122 140 204 222 224 264 290 312 330 344	562826632008
SPT(16)	1262344239338194417	0 12 52 60 126 150 250 270 292 312 412 436 502 510 550 562	612596624978
SPT(16)	1262344414550624257	0 4 40 90 124 130 132 184 282 334 336 342 376 426 462 466	787809054818