Prime p₀= 1377442957687861457 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 84 32 18 36 30 54 30 22 30 54 30 36 18 32 84 (?)
a_n: 0 84 116 134 170 200 254 284 306 336 390 420 456 474 506 590
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: 590
Found by: emoga
db: batch=77, k=16, 84 32 18 36 30 54 30 22

SPT(16)	1377440454722904107	0 32 54 90 126 156 162 170 186 194 200 230 266 302 324 356	-2502964957350
SPT(16)	1377441014248573121	0 68 96 158 162 222 228 248 390 410 416 476 480 542 570 638	-1943439288336
STPT(10)	1377441169372844789	0 2 12 14 90 92 168 170 180 182	-1788315016668
TPT(14)	1377442108061566667	0 2 150 152 222 224 240 242 360 362 462 464 600 602	-849626294790
SPT(16)	1377442581476592581	0 2 30 32 56 68 80 140 168 228 240 252 276 278 306 308	-376211268876
STPT(10)	1377442745162611409	0 2 42 44 60 62 78 80 120 122	-212525250048
STPT(10)	1377443219317920497	0 2 30 32 42 44 54 56 84 86	261630059040
STPT(10)	1377443311857019007	0 2 42 44 72 74 102 104 144 146	354169157550
SPT(16)	1377443392502980813	0 36 58 64 70 84 136 150 154 168 220 234 240 246 268 304	434815119356
STPT(10)	1377443497896427847	0 2 54 56 72 74 90 92 144 146	540208566390
SPT(16)	1377443518027977721	0 10 40 46 72 100 102 150 172 220 222 250 276 282 312 322	560340116264