Prime p₀= 1010123785231808293 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 18 10 18 110 10 14 30 34 30 14 10 110 18 10 18 (?)
a_n: 0 18 28 46 156 166 180 210 244 274 288 298 408 426 436 454
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: 454
Found by: stoneageman
db: batch=76, k=16, 18 10 18 110 10 14 30 34

SPT(16)	1010121933999198043	0 4 48 70 108 130 148 160 204 216 234 256 294 316 360 364	-1851232610250
SPT(18)	1010122190830248311	0 6 26 102 128 170 182 200 210 368 378 396 408 450 476 552 572 578	-1594401559982
TPT(14)	1010122495452561761	0 2 6 8 18 20 48 50 180 182 210 212 216 218	-1289779246532
SPT(16)	1010122668108330467	0 12 62 80 96 110 116 132 194 210 216 230 246 264 314 326	-1117123477826
SPT(16)	1010122668722018779	0 4 28 70 72 100 102 114 118 130 132 160 162 204 228 232	-1116509789514
SPT(16)	1010122682616871507	0 4 54 60 76 82 102 126 220 244 264 270 286 292 342 346	-1102614936786
STPT(10)	1010124311062381157	0 2 30 32 42 44 54 56 84 86	525830572864
SPT(18)	1010124382876796149	0 48 118 124 130 154 180 204 244 294 334 358 384 408 414 420 490 538	597644987856
SPT(16)	1010124471946345901	0 38 78 90 126 150 230 276 302 348 428 452 488 500 540 578	686714537608
SPT(18)	1010124623014069609	0 48 54 100 118 148 184 210 258 274 322 348 384 414 432 478 484 532	837782261316
SPT(16)	1010124802704864109	0 84 112 120 160 172 264 288 334 358 450 462 502 510 538 622	1017473055816