Prime p₀= 1280914034003949641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 76 2 58 2 16 2 10 2 10 2 (?)
a_n: 0 2 90 92 168 170 228 230 246 248 258 260 270 272
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: 272
Found by: Theadalus
db: batch=77, k=14, 88 76 58 16 10 10

SPT(16)	1280911723173329147	0 24 32 36 42 60 80 104 222 246 266 284 290 294 302 326	-2310830620494
STPT(10)	1280911895953414427	0 2 42 44 132 134 222 224 264 266	-2138050535214
STPT(10)	1280911924345785629	0 2 18 20 30 32 42 44 60 62	-2109658164012
STPT(10)	1280912964003085667	0 2 42 44 72 74 102 104 144 146	-1070000863974
SPT(18)	1280913405215340359	0 12 72 80 102 158 170 182 194 198 210 222 234 290 312 320 380 392	-628788609282
SPT(16)	1280913662612607707	0 14 90 134 144 194 216 264 266 314 336 386 396 440 516 530	-371391341934
STPT(10)	1280914038459113921	0 2 36 38 78 80 120 122 156 158	4455164280
SPT(16)	1280914136685495349	0 10 64 78 90 130 178 204 268 294 342 382 394 408 462 472	102681545708
TPT(14)	1280914179886442111	0 2 150 152 168 170 288 290 306 308 360 362 420 422	145882492470
SPT(16)	1280914402626511439	0 12 14 24 30 90 132 150 212 230 272 332 338 348 350 362	368622561798
SPT(18)	1280915297021128663	0 6 30 94 130 144 154 166 196 198 228 240 250 264 300 364 388 394	1263017179022