Prime p₀= 2796388855325519819 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 68 22 44 48 12 36 52 36 12 48 44 22 68 30 (?)
a_n: 0 30 98 120 164 212 224 260 312 348 360 408 452 474 542 572
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: 572
Found by: JayPi
db: batch=82, k=16, 30 68 22 44 48 12 36 52

SPT(16)	2796386765048663827	0 46 54 96 106 124 130 150 190 210 216 234 244 286 294 340	-2090276855992
SPT(16)	2796387314270059723	0 6 16 28 36 94 174 240 244 310 390 448 456 468 478 484	-1541055460096
SPT(16)	2796387395334360181	0 6 40 58 76 90 100 118 120 138 148 162 180 198 232 238	-1459991159638
SPT(16)	2796387486735591373	0 10 70 114 148 190 228 240 358 370 408 450 484 528 588 598	-1368589928446
SPT(16)	2796387607235102249	0 42 54 68 80 122 150 152 180 182 210 252 264 278 290 332	-1248090417570
TPT(14)	2796388526790264779	0 2 48 50 90 92 162 164 168 170 258 260 270 272	-328535255040
STPT(10)	2796388855655603471	0 2 6 8 48 50 90 92 96 98	330083652
STPT(10)	2796389090834243657	0 2 30 32 42 44 54 56 84 86	235508723838
SPT(16)	2796389204572112561	0 62 68 98 152 158 180 222 236 278 300 306 360 390 396 458	349246592742
SPT(20)	2796389610654036857	0 6 32 66 80 102 180 182 186 192 224 230 234 236 314 336 350 384 410 416	755328517038
SPT(16)	2796390128450581277	0 30 44 60 66 80 86 110 156 180 186 200 206 222 236 266	1273125061458