Prime p₀= 1101098672234995937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 88 2 76 2 46 2 28 2 40 2 (?)
a_n: 0 2 24 26 114 116 192 194 240 242 270 272 312 314
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: 314
Found by: Theadalus
db: batch=76, k=14, 22 88 76 46 28 40

STPT(10)	1101098266042759289	0 2 42 44 90 92 138 140 180 182	-406192236648
SPT(16)	1101098329245008951	0 26 36 42 90 96 110 120 152 162 176 182 230 236 246 272	-342989986986
SPT(16)	1101098354709698633	0 30 56 60 96 126 156 186 248 278 308 338 374 378 404 434	-317525297304
SPT(16)	1101098442143613131	0 18 32 50 56 78 108 176 252 320 350 372 378 396 410 428	-230091382806
SPT(16)	1101098456162069191	0 10 16 30 40 52 66 72 166 172 186 198 208 222 228 238	-216072926746
STPT(10)	1101098647797352847	0 2 30 32 42 44 54 56 84 86	-24437643090
TPT(14)	1101098690843617577	0 2 12 14 150 152 210 212 222 224 270 272 282 284	18608621640
SPT(16)	1101098718518437633	0 24 60 108 154 156 180 256 288 364 388 390 436 484 520 544	46283441696
SPT(16)	1101099014627781713	0 26 60 66 68 110 120 140 144 164 174 216 218 224 258 284	342392785776
SPT(13)	1101099190562933299	0 12 90 108 132 138 150 162 168 192 210 288 300	518327937362
STPT(10)	1101099447382863737	0 2 12 14 42 44 72 74 84 86	775147867800