Prime p₀= 2749359332551117619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 40 2 88 2 34 2 22 2 16 2 (?)
a_n: 0 2 90 92 132 134 222 224 258 260 282 284 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 88 40 88 34 22 16

SPT(16)	2749357718475670171	0 30 48 70 90 100 106 108 160 162 168 178 198 220 238 268	-1614075447448
STPT(10)	2749357840771767077	0 2 30 32 72 74 114 116 144 146	-1491779350542
STPT(10)	2749358065466976461	0 2 36 38 78 80 120 122 156 158	-1267084141158
STPT(10)	2749358158499062181	0 2 30 32 78 80 126 128 156 158	-1174052055438
SPT(16)	2749358183548581589	0 28 70 84 108 180 204 220 222 238 262 334 358 372 414 442	-1149002536030
SPT(16)	2749358554002475763	0 74 90 108 116 126 140 174 200 234 248 258 266 284 300 374	-778548641856
STPT(10)	2749359524679086687	0 2 30 32 42 44 54 56 84 86	192127969068
SPT(16)	2749359727956941189	0 18 24 68 74 102 128 150 242 264 290 318 324 368 374 392	395405823570
SPT(16)	2749359864472764761	0 30 32 60 72 98 108 138 140 170 180 206 218 246 248 278	531921647142
STPT(10)	2749360734787789007	0 2 30 32 72 74 114 116 144 146	1402236671388
STPT(10)	2749360811633560877	0 2 30 32 42 44 54 56 84 86	1479082443258