Prime p₀= 2701527674150168621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 112 2 16 2 46 2 82 2 34 2 (?)
a_n: 0 2 156 158 270 272 288 290 336 338 420 422 456 458
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: 458
Found by: biodoc
db: batch=82, k=14, 154 112 16 46 82 34

SPT(16)	2701526639929628521	0 6 28 30 40 52 66 76 132 142 156 168 178 180 202 208	-1034220540100
STPT(10)	2701526823034096997	0 2 30 32 60 62 90 92 120 122	-851116071624
SPT(16)	2701526870100803821	0 16 30 60 70 72 90 130 138 178 196 198 208 238 252 268	-804049364800
TPT(14)	2701527091042925021	0 2 6 8 48 50 198 200 246 248 258 260 288 290	-583107243600
SPT(16)	2701527092021922557	0 32 44 60 72 84 144 156 170 182 242 254 266 282 294 326	-582128246064
STPT(10)	2701527607727661149	0 2 48 50 90 92 132 134 180 182	-66422507472
STPT(10)	2701527697817849627	0 2 24 26 42 44 60 62 84 86	23667681006
STPT(10)	2701527801188125277	0 2 30 32 42 44 54 56 84 86	127037956656
SPT(16)	2701527891903275353	0 24 28 36 66 120 130 154 210 234 244 298 328 336 340 364	217753106732
SPT(16)	2701527918583061747	0 26 32 72 102 110 126 144 212 230 246 254 284 324 330 356	244432893126
SPT(16)	2701528824648798007	0 6 40 42 90 120 142 156 160 174 196 226 274 276 310 316	1150498629386