Prime p₀= 1016928829229284661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 40 2 76 2 40 2 46 2 (?)
a_n: 0 2 6 8 18 20 60 62 138 140 180 182 228 230
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: Theadalus
db: batch=76, k=14, 4 10 40 76 40 46

STPT(10)	1016927722645263599	0 2 18 20 30 32 42 44 60 62	-1106584021062
TPT(14)	1016927984972771567	0 2 12 14 42 44 90 92 150 152 192 194 252 254	-844256513094
SPT(16)	1016928099142612421	0 20 32 48 66 92 108 120 128 140 156 182 200 216 228 248	-730086672240
SPT(16)	1016928348575062097	0 14 56 62 102 110 122 146 150 174 186 194 234 240 282 296	-480654222564
SPT(16)	1016928485301814847	0 14 20 56 60 72 80 114 182 216 224 236 240 276 282 296	-343927469814
STPT(10)	1016928519037780367	0 2 12 14 72 74 132 134 144 146	-310191504294
STPT(10)	1016928882432739919	0 2 102 104 210 212 318 320 420 422	53203455258
STPT(10)	1016929638352605839	0 2 78 80 120 122 162 164 240 242	809123321178
SPT(16)	1016929850527283603	0 8 96 110 114 126 140 164 240 264 278 290 294 308 396 404	1021297998942
SPT(16)	1016930043785403599	0 24 48 54 102 122 194 200 252 258 330 350 398 404 428 452	1214556118938
STPT(12)	1016930047020003329	0 2 12 14 42 44 48 50 78 80 90 92	1217790718668