Prime p₀= 2943176718805104407 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 82 2 46 2 40 2 28 2 4 2 (?)
a_n: 0 2 90 92 174 176 222 224 264 266 294 296 300 302
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: Coleslaw
db: batch=82, k=14, 88 82 46 40 28 4

SPT(16)	2943175176315042749	0 20 38 48 54 80 84 98 204 218 222 248 254 264 282 302	-1542490061658
SPT(16)	2943175390830814561	0 10 16 60 66 70 78 88 168 178 186 190 196 240 246 256	-1327974289846
STPT(12)	2943175393812597059	0 2 30 32 42 44 228 230 240 242 270 272	-1324992507348
STPT(10)	2943175786613328347	0 2 12 14 72 74 132 134 144 146	-932191776060
SPT(16)	2943176058477369461	0 26 32 36 66 80 116 158 270 312 348 362 392 396 402 428	-660327734946
SPT(16)	2943176625086918587	0 34 72 76 82 142 156 174 232 250 264 324 330 334 372 406	-93718185820
STPT(10)	2943176731625555837	0 2 24 26 42 44 60 62 84 86	12820451430
STPT(10)	2943176847134404589	0 2 42 44 60 62 78 80 120 122	128329300182
STPT(12)	2943177143387281847	0 2 12 14 54 56 60 62 102 104 114 116	424582177440
SPT(16)	2943177351714789199	0 52 54 70 112 142 160 178 264 282 300 330 372 388 390 442	632909684792
SPT(16)	2943177390064329991	0 18 28 52 72 126 130 156 172 198 202 256 276 300 310 328	671259225584