Prime p₀= 2960361535079772557 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 58 2 106 2 16 2 40 2 10 2 (?)
a_n: 0 2 54 56 114 116 222 224 240 242 282 284 294 296
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: 296
Found by: Landjunge
db: batch=82, k=14, 52 58 106 16 40 10

SPT(16)	2960359410684418453	0 28 46 88 156 210 214 226 228 240 244 298 366 408 426 454	-2124395354104
SPT(16)	2960359516917747223	0 28 34 88 100 126 160 166 258 264 298 324 336 390 396 424	-2018162025334
STPT(10)	2960360078353486811	0 2 36 38 78 80 120 122 156 158	-1456726285746
STPT(10)	2960360588421858329	0 2 78 80 120 122 162 164 240 242	-946657914228
SPT(16)	2960360714377757051	0 12 20 50 60 62 78 92 138 152 168 170 180 210 218 230	-820702015506
STPT(10)	2960360954169879287	0 2 30 32 42 44 54 56 84 86	-580909893270
SPT(16)	2960361643073253877	0 16 22 34 40 64 84 154 162 232 252 276 282 294 300 316	107993481320
TPT(14)	2960361665531726711	0 2 48 50 78 80 90 92 138 140 180 182 300 302	130451954154
SPT(16)	2960361710410339321	0 10 48 106 118 160 216 232 246 262 318 360 372 430 468 478	175330566764
STPT(10)	2960362099318423769	0 2 12 14 30 32 48 50 60 62	564238651212
STPT(10)	2960362119271068047	0 2 30 32 42 44 54 56 84 86	584191295490