Prime p₀= 1048968147413590319 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 56 30 22 6 14 48 22 48 14 6 22 30 56 24 (?)
a_n: 0 24 80 110 132 138 152 200 222 270 284 290 312 342 398 422
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: 422
Found by: stoneageman
db: batch=76, k=16, 24 56 30 22 6 14 48 22

SPT(16)	1048966587242740181	0 30 78 86 108 116 122 126 152 156 162 170 192 200 248 278	-1560170850138
SPT(16)	1048966603876877297	0 44 56 66 80 120 146 156 230 240 266 306 320 330 342 386	-1543536713022
STPT(10)	1048966734375834017	0 2 42 44 72 74 102 104 144 146	-1413037756302
STPT(10)	1048967326342519247	0 2 42 44 72 74 102 104 144 146	-821071071072
SPT(16)	1048967584897572103	0 36 54 70 100 106 144 166 168 190 228 234 264 280 298 334	-562516018216
STPT(12)	1048967736410239691	0 2 6 8 78 80 138 140 210 212 216 218	-411003350628
STPT(10)	1048968165996395147	0 2 24 26 42 44 60 62 84 86	18582804828
SPT(16)	1048968283283501167	0 34 66 114 126 160 196 210 250 264 300 334 346 394 426 460	135869910848
SPT(13)	1048968405588766367	0 6 24 90 126 144 210 276 294 330 396 414 420	258175176048
STPT(10)	1048968461200759901	0 2 6 8 48 50 90 92 96 98	313787169582
SPT(16)	1048968462463235687	0 20 24 50 62 146 192 234 272 314 360 444 456 482 486 506	315049645368