Prime p₀= 985598126679731351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 16 2 82 2 28 2 4 2 28 2 (?)
a_n: 0 2 78 80 96 98 180 182 210 212 216 218 246 248
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: 248
Found by: Spectrum
db: batch=76, k=14, 76 16 82 28 4 28

SPT(16)	985597391035931987	0 14 36 42 60 74 120 140 186 206 252 266 284 290 312 326	-735643799364
SPT(16)	985597648083299351	0 36 42 48 62 86 170 176 282 288 372 396 410 416 422 458	-478596432000
STPT(10)	985597684187876687	0 2 42 44 72 74 102 104 144 146	-442491854664
SPT(16)	985597968761752217	0 26 54 56 92 110 156 180 296 320 366 384 420 422 450 476	-157917979134
STPT(10)	985598005529024939	0 2 18 20 30 32 42 44 60 62	-121150706412
STPT(10)	985598082757432559	0 2 18 20 30 32 42 44 60 62	-43922298792
STPT(10)	985598157313029059	0 2 48 50 60 62 72 74 120 122	30633297708
STPT(10)	985598176568375969	0 2 18 20 30 32 42 44 60 62	49888644618
STPT(10)	985598379413156777	0 2 30 32 72 74 114 116 144 146	252733425426
SPT(16)	985598675429127623	0 6 48 108 114 140 156 194 210 248 264 290 296 356 398 404	548749396272
SPT(16)	985598904145933313	0 14 18 38 48 60 74 78 80 84 98 110 120 140 144 158	777466201962