Prime p₀= 1563716074393230557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 172 2 106 2 40 2 58 2 136 2 10 2 (?)
a_n: 0 2 174 176 282 284 324 326 384 386 522 524 534 536
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 536
Found by: samuraiii
db: batch=78, k=14, 172 106 40 58 136 10

SPT(16)	1563715765568153279	0 8 38 84 92 98 110 132 140 162 174 180 188 234 264 272	-308825077278
STPT(10)	1563715824290305529	0 2 18 20 30 32 42 44 60 62	-250102925028
SPT(16)	1563715861122196829	0 42 48 50 98 102 104 152 210 258 260 264 312 314 320 362	-213271033728
STPT(10)	1563715872938178887	0 2 12 14 72 74 132 134 144 146	-201455051670
STPT(10)	1563715891501454387	0 2 12 14 72 74 132 134 144 146	-182891776170
SPT(16)	1563715966028172643	0 16 46 64 96 120 144 166 228 250 274 298 330 348 378 394	-108365057914
SPT(18)	1563716314909596781	0 6 40 70 72 76 112 136 142 150 156 180 216 220 222 252 286 292	240516366224
STPT(10)	1563716652248075327	0 2 30 32 72 74 114 116 144 146	577854844770
SPT(16)	1563716889259674319	0 18 22 24 52 60 78 84 178 184 202 210 238 240 244 262	814866443762
STPT(10)	1563717313043488451	0 2 30 32 60 62 90 92 120 122	1238650257894
STPT(10)	1563717330688488299	0 2 18 20 30 32 42 44 60 62	1256295257742