Prime p₀= 2886138669614134157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 34 2 40 2 58 2 58 2 (?)
a_n: 0 2 12 14 114 116 150 152 192 194 252 254 312 314
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: Landjunge
db: batch=82, k=14, 10 100 34 40 58 58

SPT(16)	2886137103963471619	0 34 70 78 100 148 150 160 192 202 204 252 274 282 318 352	-1565650662538
TPT(14)	2886137148745949507	0 2 12 14 24 26 54 56 162 164 180 182 192 194	-1520868184650
SPT(16)	2886137166734956559	0 20 68 78 80 90 150 222 230 302 362 372 374 384 432 452	-1502879177598
TPT(14)	2886137462493966881	0 2 48 50 96 98 156 158 168 170 228 230 270 272	-1207120167276
SPT(16)	2886138299813951411	0 60 80 116 146 158 176 182 336 342 360 372 402 438 458 518	-369800182746
STPT(10)	2886138539329270571	0 2 66 68 108 110 150 152 216 218	-130284863586
SPT(16)	2886139940476323499	0 22 48 108 112 118 174 178 234 238 294 300 304 364 390 412	1270862189342
STPT(10)	2886140067666877961	0 2 36 38 78 80 120 122 156 158	1398052743804
STPT(10)	2886140660283670841	0 2 6 8 18 20 30 32 36 38	1990669536684
SPT(16)	2886140844138468229	0 10 34 48 54 84 108 112 150 154 178 208 214 228 252 262	2174524334072
SPT(16)	2886140850021478993	0 6 16 28 58 100 118 166 168 216 234 276 306 318 328 334	2180407344836