Prime p₀= 383167180416622949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 4 2 22 2 166 2 28 2 (?)
a_n: 0 2 12 14 42 44 48 50 72 74 240 242 270 272
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: KPX
db: batch=70, k=14, 10 28 4 22 166 28

SPT(14)	383167112650444891	0 18 40 42 48 90 108 160 178 220 226 228 250 268	-67766178058
SPT(14)	383167122659893421	0 48 66 78 92 168 180 248 260 336 350 362 380 428	-57756729528
SPT(14)	383167132500965557	0 16 30 72 76 82 210 292 420 426 430 472 486 502	-47915657392
SPT(14)	383167149737171263	0 46 60 88 100 178 258 298 378 456 468 496 510 556	-30679451686
SPT(14)	383167157286467647	0 22 46 64 66 84 114 142 172 190 192 210 234 256	-23130155302
SPT(14)	383167158250101661	0 28 60 72 88 90 168 220 298 300 316 328 360 388	-22166521288
TPT(12)	383167198208343977	0 2 24 26 84 86 150 152 234 236 294 296	17791721028
SPT(14)	383167211881320481	0 28 42 66 90 108 118 300 310 328 352 376 390 418	31464697532
SPT(14)	383167215290083171	0 6 10 12 16 36 58 90 112 132 136 138 142 148	34873460222
SPT(14)	383167229398337767	0 6 34 36 70 174 186 220 232 336 370 372 400 406	48981714818
SPT(14)	383167267546876829	0 18 20 32 38 42 48 74 80 84 90 102 104 122	87130253880