Prime p₀= 2276725380254420657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 10 2 16 2 28 2 70 2 (?)
a_n: 0 2 42 44 72 74 84 86 102 104 132 134 204 206
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: 206
Found by: JayPi
db: batch=81, k=14, 40 28 10 16 28 70

SPT(16)	2276724622454491387	0 6 10 34 52 132 142 154 282 294 304 384 402 426 430 436	-757799929270
SPT(16)	2276724736242074273	0 74 84 96 110 140 176 228 236 288 324 354 368 380 390 464	-644012346384
SPT(16)	2276724811033339237	0 6 54 84 90 96 154 156 184 186 244 250 256 286 334 340	-569221081420
SPT(16)	2276724949772798947	0 10 16 30 42 52 60 90 196 226 234 244 256 270 276 286	-430481621710
STPT(10)	2276724992406542021	0 2 36 38 78 80 120 122 156 158	-387847878636
STPT(10)	2276725063651629419	0 2 12 14 90 92 168 170 180 182	-316602791238
SPT(16)	2276726198163654091	0 30 52 70 100 126 136 156 316 336 346 372 402 420 442 472	817909233434
TPT(14)	2276726398650332807	0 2 12 14 90 92 120 122 204 206 294 296 360 362	1018395912150
SPT(16)	2276726415135144877	0 4 10 76 90 100 106 150 196 240 246 256 270 336 342 346	1034880724220
SPT(16)	2276726583349458179	0 2 30 38 92 104 108 132 200 224 228 240 294 302 330 332	1203095037522
STPT(12)	2276726685112315409	0 2 30 32 72 74 78 80 120 122 150 152	1304857894752