Prime p₀= 911676005986542779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 34 2 28 2 10 2 16 2 52 2 (?)
a_n: 0 2 12 14 48 50 78 80 90 92 108 110 162 164
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: 164
Found by: Theadalus
db: batch=76, k=14, 10 34 28 10 16 52

SPT(16)	911674640511560267	0 14 62 90 116 222 240 242 264 266 284 390 416 444 492 506	-1365474982512
STPT(10)	911674817676011297	0 2 30 32 42 44 54 56 84 86	-1188310531482
SPT(16)	911674888402804411	0 6 40 46 58 72 90 138 190 238 256 270 282 288 322 328	-1117583738368
SPT(16)	911675064083366719	0 48 82 112 114 120 178 192 250 264 322 328 330 360 394 442	-941903176060
SPT(16)	911675075290391831	0 18 26 108 126 128 138 150 158 170 180 182 200 282 290 308	-930696150948
STPT(10)	911675542818935561	0 2 6 8 18 20 30 32 36 38	-463167607218
STPT(10)	911676098232516311	0 2 30 32 60 62 90 92 120 122	92245973532
SPT(16)	911676586113555781	0 12 16 70 82 96 112 126 142 156 172 186 198 252 256 268	580127013002
SPT(16)	911676586862678779	0 24 70 112 120 142 154 184 198 228 240 262 270 312 358 382	580876136000
SPT(16)	911676696715102961	0 2 56 68 90 230 258 272 276 290 318 458 480 492 546 548	690728560182
SPT(16)	911676771165180443	0 48 56 128 156 170 230 290 324 384 444 458 486 558 566 614	765178637664