Prime p₀= 2788747311397396021 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 28 12 66 30 72 2 58 50 58 2 72 30 66 12 28 (?)
a_n: 0 28 40 106 136 208 210 268 318 376 378 450 480 546 558 586
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: 586
Found by: JayPi
db: batch=82, k=16, 28 12 66 30 72 2 58 50

SPT(16)	2788746821508069347	0 2 14 30 32 60 104 170 384 450 494 522 524 540 552 554	-489889326674
SPT(16)	2788746956052299483	0 8 38 50 140 174 204 218 246 260 290 324 414 426 456 464	-355345096538
STPT(10)	2788747036646730041	0 2 36 38 78 80 120 122 156 158	-274750665980
SPT(16)	2788747065450636503	0 20 38 80 98 108 110 168 188 246 248 258 276 318 336 356	-245946759518
SPT(16)	2788747210594262791	0 12 16 48 52 66 90 96 172 178 202 216 220 252 256 268	-100803133230
SPT(16)	2788747303769324713	0 48 76 78 148 160 216 226 270 280 336 348 418 420 448 496	-7628071308
SPT(16)	2788747412757932933	0 14 60 98 126 146 156 180 284 308 318 338 366 404 450 464	101360536912
SPT(16)	2788747667414516147	0 30 44 54 60 96 114 132 194 212 230 266 272 282 296 326	356017120126
SPT(16)	2788747882203519311	0 98 102 110 132 152 168 176 312 320 336 356 378 386 390 488	570806123290
SPT(16)	2788748082187529659	0 10 30 40 52 60 64 70 264 270 274 282 294 304 324 334	770790133638
SPT(16)	2788748091576435881	0 6 12 36 132 176 188 198 200 210 222 266 362 386 392 398	780179039860