Prime p₀= 2313326784873759797 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 58 2 10 2 16 2 40 2 (?)
a_n: 0 2 30 32 42 44 102 104 114 116 132 134 174 176
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: 176
Found by: herby44
db: batch=81, k=14, 28 10 58 10 16 40

STPT(10)	2313325564129348577	0 2 54 56 72 74 90 92 144 146	-1220744411220
SPT(16)	2313325895311403699	0 18 38 72 74 80 102 104 108 110 132 138 140 174 194 212	-889562356098
SPT(16)	2313326048189480557	0 24 60 76 100 136 154 156 190 192 210 246 270 286 322 346	-736684279240
STPT(10)	2313326111995895987	0 2 12 14 42 44 72 74 84 86	-672877863810
STPT(10)	2313326175914489579	0 2 18 20 30 32 42 44 60 62	-608959270218
SPT(16)	2313326759231862089	0 24 30 72 84 92 128 158 174 204 240 248 260 302 308 332	-25641897708
SPT(16)	2313327063660379471	0 22 40 78 82 90 102 112 138 148 160 168 172 210 228 250	278786619674
SPT(16)	2313327066664331479	0 12 24 34 72 94 130 144 208 222 258 280 318 328 340 352	281790571682
STPT(10)	2313327075734672279	0 2 42 44 60 62 78 80 120 122	290860912482
STPT(10)	2313327158361704657	0 2 30 32 42 44 54 56 84 86	373487944860
SPT(16)	2313327436654428191	0 12 26 86 92 176 210 230 252 272 306 390 396 456 470 482	651780668394