Prime p₀= 2751131977608685007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 64 2 10 2 100 2 28 2 64 2 (?)
a_n: 0 2 84 86 150 152 162 164 264 266 294 296 360 362
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: 362
Found by: [SG-FC] hl
db: batch=82, k=14, 82 64 10 100 28 64

SPT(16)	2751130948580882209	0 4 40 52 102 108 112 118 144 150 154 160 210 222 258 262	-1029027802798
SPT(16)	2751131113802018819	0 2 32 42 54 62 84 114 128 158 180 188 200 210 240 242	-863806666188
STPT(10)	2751131401200332201	0 2 6 8 18 20 30 32 36 38	-576408352806
STPT(10)	2751131411824031417	0 2 30 32 42 44 54 56 84 86	-565784653590
STPT(10)	2751131651316179111	0 2 30 32 78 80 126 128 156 158	-326292505896
STPT(10)	2751131939197836461	0 2 36 38 78 80 120 122 156 158	-38410848546
STPT(10)	2751132235173962291	0 2 36 38 78 80 120 122 156 158	257565277284
STPT(10)	2751132788008273811	0 2 6 8 18 20 30 32 36 38	810399588804
SPT(16)	2751133272280162691	0 8 32 38 56 60 78 96 122 140 158 162 180 186 210 218	1294671477684
SPT(16)	2751133632319447799	0 2 12 30 50 78 92 110 162 180 194 222 242 260 270 272	1654710762792
SPT(16)	2751135182670239971	0 130 156 168 202 246 270 282 286 298 322 366 400 412 438 568	3205061554964