Prime p₀= 1101098690843617577 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 58 2 10 2 46 2 10 2 (?)
a_n: 0 2 12 14 150 152 210 212 222 224 270 272 282 284
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: 284
Found by: Theadalus
db: batch=76, k=14, 10 136 58 10 46 10

SPT(16)	1101098329245008951	0 26 36 42 90 96 110 120 152 162 176 182 230 236 246 272	-361598608626
SPT(16)	1101098354709698633	0 30 56 60 96 126 156 186 248 278 308 338 374 378 404 434	-336133918944
SPT(16)	1101098442143613131	0 18 32 50 56 78 108 176 252 320 350 372 378 396 410 428	-248700004446
SPT(16)	1101098456162069191	0 10 16 30 40 52 66 72 166 172 186 198 208 222 228 238	-234681548386
STPT(10)	1101098647797352847	0 2 30 32 42 44 54 56 84 86	-43046264730
TPT(14)	1101098672234995937	0 2 24 26 114 116 192 194 240 242 270 272 312 314	-18608621640
SPT(16)	1101098718518437633	0 24 60 108 154 156 180 256 288 364 388 390 436 484 520 544	27674820056
SPT(16)	1101099014627781713	0 26 60 66 68 110 120 140 144 164 174 216 218 224 258 284	323784164136
SPT(13)	1101099190562933299	0 12 90 108 132 138 150 162 168 192 210 288 300	499719315722
STPT(10)	1101099447382863737	0 2 12 14 42 44 72 74 84 86	756539246160
SPT(16)	1101099727015534703	0 20 30 36 48 66 120 146 228 254 308 326 338 344 354 374	1036171917126