Prime p₀= 1464967354358161757 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 34 56 30 10 14 6 40 6 14 10 30 56 34 56 (?)
a_n: 0 56 90 146 176 186 200 206 246 252 266 276 306 362 396 452
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: 452
Found by: Spectrum
db: batch=78, k=16, 56 34 56 30 10 14 6 40

SPT(16)	1464966843692661301	0 18 48 90 136 156 198 238 240 280 322 342 388 430 460 478	-510665500456
STPT(10)	1464966859126511747	0 2 30 32 42 44 54 56 84 86	-495231650010
STPT(12)	1464966871123075121	0 2 48 50 90 92 126 128 168 170 216 218	-483235086636
STPT(10)	1464966953849563859	0 2 30 32 60 62 90 92 120 122	-400508597898
SPT(16)	1464967290420641989	0 4 18 72 88 102 108 120 142 154 160 174 190 244 258 262	-63937519768
SPT(16)	1464967343022368183	0 8 56 66 140 150 164 186 248 270 284 294 368 378 426 434	-11335793574
SPT(16)	1464967552935547679	0 18 74 90 128 140 188 198 230 240 288 300 338 354 410 428	198577385922
TPT(14)	1464967570889657447	0 2 30 32 42 44 54 56 72 74 84 86 222 224	216531495690
STPT(10)	1464967704463091417	0 2 30 32 42 44 54 56 84 86	350104929660
STPT(10)	1464968290450940159	0 2 78 80 150 152 222 224 300 302	936092778402
STPT(10)	1464968405514334751	0 2 30 32 60 62 90 92 120 122	1051156172994