Prime p₀= 998025634251526031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 34 2 10 2 16 2 82 2 (?)
a_n: 0 2 30 32 90 92 126 128 138 140 156 158 240 242
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: 242
Found by: HenkM
db: batch=76, k=14, 28 58 34 10 16 82

STPT(10)	998024894192613071	0 2 36 38 78 80 120 122 156 158	-740058912960
SPT(16)	998025174872135989	0 18 34 42 54 78 120 178 204 262 304 328 340 348 364 382	-459379390042
STPT(10)	998025341731254041	0 2 6 8 18 20 30 32 36 38	-292520271990
SPT(16)	998025420715997747	0 12 24 72 86 110 150 156 230 236 276 300 314 362 374 386	-213535528284
SPT(16)	998025523925985251	0 36 48 50 56 72 86 102 116 132 146 162 168 170 182 218	-110325540780
STPT(10)	998025607662944447	0 2 30 32 72 74 114 116 144 146	-26588581584
SPT(16)	998025716612129633	0 18 44 54 74 80 114 120 158 164 198 204 224 234 260 278	82360603602
STPT(10)	998025775246316207	0 2 30 32 42 44 54 56 84 86	140994790176
STPT(10)	998025781520672909	0 2 12 14 90 92 168 170 180 182	147269146878
SPT(18)	998026101215324759	0 18 90 102 194 230 260 272 284 288 300 312 342 378 470 482 554 572	466963798728
SPT(16)	998026171547272039	0 18 22 82 144 214 238 250 252 264 288 358 420 480 484 502	537295746008