Prime p₀= 1281099840839782991 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 40 2 4 2 52 2 16 2 (?)
a_n: 0 2 60 62 108 110 150 152 156 158 210 212 228 230
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: 230
Found by: mikey
db: batch=77, k=14, 58 46 40 4 52 16

SPT(16)	1281097613559458141	0 6 66 72 90 128 140 156 182 198 210 248 266 272 332 338	-2227280324850
SPT(16)	1281097683002030897	0 6 54 56 66 126 132 152 204 224 230 290 300 302 350 356	-2157837752094
SPT(16)	1281097734338341903	0 48 84 100 126 166 210 214 240 244 288 328 354 370 406 454	-2106501441088
SPT(16)	1281098075217167939	0 8 12 20 42 114 128 138 254 264 278 350 372 380 384 392	-1765622615052
SPT(16)	1281098169793378549	0 40 100 118 132 138 142 144 238 240 244 250 264 282 342 382	-1671046404442
STPT(10)	1281098455128547421	0 2 36 38 78 80 120 122 156 158	-1385711235570
STPT(10)	1281100387880707151	0 2 6 8 18 20 30 32 36 38	547040924160
SPT(18)	1281100905949852433	0 14 110 146 164 200 210 218 246 248 276 284 294 330 348 384 480 494	1065110069442
STPT(10)	1281101004307751909	0 2 42 44 60 62 78 80 120 122	1163467968918
STPT(10)	1281101023638745427	0 2 30 32 42 44 54 56 84 86	1182798962436
SPT(16)	1281101138673637483	0 4 30 34 48 88 114 118 180 184 210 250 264 268 294 298	1297833854492