Prime p₀= 1427395153792585357 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 10 18 12 20 78 28 14 28 78 20 12 18 10 24 (?)
a_n: 0 24 34 52 64 84 162 190 204 232 310 330 342 360 370 394
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: 394
Found by: emoga
db: batch=78, k=16, 24 10 18 12 20 78 28 14

SPT(16)	1427393372505676073	0 18 24 80 86 144 156 200 234 278 290 348 354 410 416 434	-1781286909284
SPT(16)	1427394031229479669	0 4 12 48 142 168 210 262 300 352 394 420 514 550 558 562	-1122563105688
STPT(10)	1427394166372561139	0 2 18 20 30 32 42 44 60 62	-987420024218
TPT(14)	1427394349311775421	0 2 36 38 126 128 168 170 210 212 276 278 300 302	-804480809936
STPT(10)	1427394677487943511	0 2 6 8 48 50 90 92 96 98	-476304641846
TPT(14)	1427394772174824911	0 2 6 8 66 68 78 80 96 98 126 128 150 152	-381617760446
SPT(16)	1427395228008591463	0 58 76 108 118 154 160 196 198 234 240 276 286 318 336 394	74216006106
STPT(10)	1427395476037848671	0 2 6 8 48 50 90 92 96 98	322245263314
SPT(16)	1427395741541342009	0 12 20 38 62 72 98 110 150 162 188 198 222 240 248 260	587748756652
SPT(16)	1427395827957345607	0 4 34 82 124 174 204 240 256 292 322 372 414 462 492 496	674164760250
SPT(16)	1427395919051539693	0 18 28 76 88 174 196 198 286 288 310 396 408 456 466 484	765258954336