Prime p₀= 2103268883744690927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 10 2 106 2 10 2 34 2 82 2 (?)
a_n: 0 2 102 104 114 116 222 224 234 236 270 272 354 356
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: 356
Found by: Landjunge
db: batch=80, k=14, 100 10 106 10 34 82

STPT(10)	2103266017448578667	0 2 24 26 42 44 60 62 84 86	-2866296112260
STPT(10)	2103266765114953721	0 2 6 8 48 50 90 92 96 98	-2118629737206
SPT(16)	2103266937962236601	0 2 48 60 66 98 146 228 230 312 360 392 398 410 456 458	-1945782454326
SPT(18)	2103267260405848253	0 6 56 68 80 110 120 134 150 194 210 224 234 264 276 288 338 344	-1623338842674
STPT(10)	2103267623334553757	0 2 12 14 72 74 132 134 144 146	-1260410137170
SPT(16)	2103267901513559477	0 2 26 36 42 50 72 90 92 110 132 140 146 156 180 182	-982231131450
SPT(16)	2103268946608627687	0 22 42 54 64 70 96 106 120 130 156 162 172 184 204 226	62863936760
SPT(16)	2103268961330736029	0 68 80 138 182 188 200 224 228 252 264 270 314 372 384 452	77586045102
SPT(16)	2103269051176578211	0 6 12 40 78 112 132 160 198 226 246 280 318 346 352 358	167431887284
SPT(16)	2103269345732136469	0 24 72 108 160 202 228 294 328 394 420 462 514 550 598 622	461987445542
SPT(16)	2103270062142333031	0 70 72 78 82 96 106 112 126 132 142 156 160 166 168 238	1178397642104