Prime p₀= 2279952735134839781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 64 2 10 2 40 2 16 2 (?)
a_n: 0 2 30 32 90 92 156 158 168 170 210 212 228 230
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: 230
Found by: Orange Kid
db: batch=81, k=14, 28 58 64 10 40 16

SPT(16)	2279951321328541093	0 6 58 90 100 120 136 148 156 168 184 204 214 246 298 304	-1413806298688
SPT(16)	2279951353932171923	0 6 26 38 56 68 78 86 90 98 108 120 138 150 170 176	-1381202667858
STPT(10)	2279951360711526251	0 2 36 38 78 80 120 122 156 158	-1374423313530
STPT(10)	2279952012826456217	0 2 12 14 42 44 72 74 84 86	-722308383564
SPT(16)	2279952168403583693	0 56 84 96 110 138 174 188 216 230 266 294 308 320 348 404	-566731256088
STPT(10)	2279952345179398649	0 2 42 44 90 92 138 140 180 182	-389955441132
SPT(16)	2279953207480901959	0 12 58 108 112 114 154 172 180 198 238 240 244 294 340 352	472346062178
SPT(16)	2279953625362119823	0 28 46 64 78 84 166 186 208 228 310 316 330 348 366 394	890227280042
SPT(16)	2279953659919711403	0 26 56 60 80 140 216 248 288 320 396 456 476 480 510 536	924784871622
STPT(10)	2279953725889573211	0 2 30 32 78 80 126 128 156 158	990754733430
SPT(16)	2279953920287397451	0 16 28 66 70 88 108 198 208 298 318 336 340 378 390 406	1185152557670