Prime p₀= 2991024155450053769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 48 50 168 170 198 200 210 212 222 224 252 254
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: 254
Found by: arkiss
db: batch=82, k=14, 46 118 28 10 10 28

SPT(16)	2991022989218664733	0 6 40 54 58 64 100 114 130 144 180 186 190 204 238 244	-1166231389036
TPT(14)	2991022998288522917	0 2 12 14 30 32 54 56 210 212 234 236 522 524	-1157161530852
SPT(16)	2991023082977402497	0 12 24 70 96 112 142 156 190 204 234 250 276 322 334 346	-1072472651272
STPT(10)	2991023146936641329	0 2 42 44 60 62 78 80 120 122	-1008513412440
STPT(10)	2991023535662714579	0 2 18 20 30 32 42 44 60 62	-619787339190
SPT(16)	2991023576319456749	0 14 32 44 60 80 120 152 252 284 324 344 360 372 390 404	-579130597020
STPT(10)	2991024155450053937	0 2 30 32 42 44 54 56 84 86	168
TPT(14)	2991024341119568639	0 2 18 20 90 92 132 134 198 200 240 242 270 272	185669514870
SPT(16)	2991024417996943763	0 50 56 78 116 128 144 158 246 260 276 288 326 348 354 404	262546889994
SPT(16)	2991024470214476219	0 2 20 24 30 38 68 90 122 144 174 182 188 192 210 212	314764422450
SPT(16)	2991025576917224123	0 18 26 54 78 120 134 144 170 180 194 236 260 288 296 314	1421467170354