Prime p₀= 1006271194553408279 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 178 2 22 2 16 2 28 2 40 2 (?)
a_n: 0 2 18 20 198 200 222 224 240 242 270 272 312 314
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: stoneageman
db: batch=76, k=14, 16 178 22 16 28 40

SPT(16)	1006269618957031489	0 22 40 88 112 162 168 190 222 244 250 300 324 372 390 412	-1575596376790
SPT(16)	1006269695632784749	0 18 34 52 82 102 112 178 204 270 280 300 330 348 364 382	-1498920623530
STPT(10)	1006269824890627007	0 2 42 44 72 74 102 104 144 146	-1369662781272
STPT(10)	1006270433036227991	0 2 30 32 78 80 126 128 156 158	-761517180288
SPT(16)	1006270768674877859	0 32 114 132 152 164 192 200 222 230 258 270 290 308 390 422	-425878530420
STPT(10)	1006271156275266767	0 2 54 56 72 74 90 92 144 146	-38278141512
STPT(12)	1006271379388020047	0 2 12 14 24 26 30 32 42 44 54 56	184834611768
STPT(10)	1006271576198438477	0 2 42 44 72 74 102 104 144 146	381645030198
STPT(10)	1006271743484201009	0 2 12 14 30 32 48 50 60 62	548930792730
STPT(10)	1006271859550628777	0 2 12 14 42 44 72 74 84 86	664997220498
STPT(10)	1006271934725865947	0 2 12 14 42 44 72 74 84 86	740172457668