Prime p₀= 2784999750590769407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 54 56 90 92 120 122 150 152 180 182 192 194
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: 194
Found by: [SG-FC] hl
db: batch=82, k=14, 52 34 28 28 28 10

SPT(16)	2784997840219051307	0 2 14 90 120 132 134 146 210 222 224 236 266 342 354 356	-1910371718100
SPT(18)	2784997892889903793	0 16 46 90 114 126 174 186 196 204 214 226 274 286 310 354 384 400	-1857700865614
STPT(10)	2784998109323118047	0 2 60 62 72 74 84 86 144 146	-1641267651360
STPT(10)	2784998908735963721	0 2 6 8 48 50 90 92 96 98	-841854805686
SPT(16)	2784999189567326129	0 24 30 62 98 132 140 168 194 222 230 264 300 332 338 362	-561023443278
STPT(12)	2784999295442190467	0 2 12 14 84 86 180 182 252 254 264 266	-455148578940
SPT(16)	2784999833254507621	0 36 78 130 156 168 180 228 250 298 310 322 348 400 442 478	82663738214
STPT(10)	2784999911667615527	0 2 12 14 72 74 132 134 144 146	161076846120
SPT(20)	2785000114892459701	0 66 70 72 156 160 256 292 300 328 360 388 396 432 528 532 616 618 622 688	364301690294
STPT(12)	2785000476328159289	0 2 12 14 48 50 132 134 168 170 180 182	725737389882
SPT(16)	2785000829914700009	0 8 20 30 68 72 78 98 132 152 158 162 200 210 222 230	1079323930602