Prime p₀= 2495120281605624641 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 136 2 58 2 22 2 (?)
a_n: 0 2 36 38 66 68 78 80 216 218 276 278 300 302
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: 302
Found by: [SG]ATA-Rolf
db: batch=82, k=14, 34 28 10 136 58 22

STPT(10)	2495119535748202367	0 2 12 14 132 134 252 254 264 266	-745857422274
SPT(16)	2495119790925036599	0 2 30 38 104 114 140 158 174 192 218 228 294 302 330 332	-490680588042
STPT(10)	2495120019171547049	0 2 18 20 60 62 102 104 120 122	-262434077592
SPT(13)	2495120034460180373	0 30 96 114 120 126 180 234 240 246 264 330 360	-247145444268
TPT(14)	2495120157527311619	0 2 42 44 48 50 90 92 138 140 222 224 282 284	-124078313022
SPT(16)	2495120199282336361	0 10 42 120 136 150 162 172 186 196 208 222 238 316 348 358	-82323288280
SPT(16)	2495120317987195033	0 16 18 28 46 90 130 148 156 174 214 258 276 286 288 304	36381570392
STPT(10)	2495120804644715477	0 2 24 26 42 44 60 62 84 86	523039090836
SPT(16)	2495121472901861939	0 128 132 170 212 224 230 234 248 252 258 270 312 350 354 482	1191296237298
SPT(16)	2495121539303031757	0 16 34 52 60 72 82 112 114 144 154 166 174 192 210 226	1257697407116
SPT(16)	2495121552867091777	0 10 46 52 54 114 154 186 250 282 322 382 384 390 426 436	1271261467136