Prime p₀= 948888625012292351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 4 2 22 2 148 2 34 2 (?)
a_n: 0 2 6 8 30 32 36 38 60 62 210 212 246 248
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: 248
Found by: Theadalus
db: batch=76, k=14, 4 22 4 22 148 34

STPT(10)	948887794608026729	0 2 42 44 120 122 198 200 240 242	-830404265622
SPT(16)	948887810086262363	0 18 30 66 80 188 206 224 300 318 336 444 458 494 506 524	-814926029988
SPT(16)	948887944307511881	0 2 12 78 116 126 162 168 170 176 212 222 260 326 336 338	-680704780470
SPT(16)	948888186172101797	0 12 24 32 42 66 140 146 150 156 230 254 264 272 284 296	-438840190554
SPT(16)	948888296628317911	0 6 52 66 88 106 118 120 178 180 192 210 232 246 292 298	-328383974440
STPT(10)	948888355288776269	0 2 48 50 90 92 132 134 180 182	-269723516082
TPT(14)	948889131844466999	0 2 18 20 42 44 90 92 102 104 132 134 138 140	506832174648
SPT(18)	948889180504004723	0 14 44 98 104 114 144 158 188 210 240 254 284 294 300 354 384 398	555491712372
STPT(10)	948889422388136387	0 2 54 56 72 74 90 92 144 146	797375844036
SPT(16)	948889467408302909	0 12 74 84 98 102 188 194 228 234 320 324 338 348 410 422	842396010558
STPT(10)	948889889484897299	0 2 18 20 30 32 42 44 60 62	1264472604948