Prime p₀= 1478279936368687349 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 34 2 82 2 34 2 28 2 (?)
a_n: 0 2 18 20 42 44 78 80 162 164 198 200 228 230
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=78, k=14, 16 22 34 82 34 28

SPT(16)	1478277747799001867	0 26 44 54 56 120 134 176 180 222 236 300 302 312 330 356	-2188569685482
SPT(16)	1478278406971171643	0 6 14 56 78 110 146 194 210 258 294 326 348 390 398 404	-1529397515706
STPT(10)	1478278417077776681	0 2 6 8 48 50 90 92 96 98	-1519290910668
STPT(10)	1478278527902487107	0 2 24 26 42 44 60 62 84 86	-1408466200242
STPT(10)	1478278656767400947	0 2 30 32 42 44 54 56 84 86	-1279601286402
STPT(10)	1478278842156988601	0 2 36 38 78 80 120 122 156 158	-1094211698748
SPT(16)	1478279950399716907	0 42 66 76 112 130 136 156 190 210 216 234 270 280 304 346	14031029558
SPT(16)	1478280115328072767	0 34 36 60 64 72 90 112 174 196 214 222 226 250 252 286	178959385418
SPT(16)	1478280508050031277	0 42 116 126 132 140 144 146 300 302 306 314 320 330 404 446	571681343928
SPT(16)	1478280775168466141	0 38 60 78 80 116 146 176 192 222 252 288 290 308 330 368	838799778792
STPT(12)	1478280930655455317	0 2 30 32 72 74 210 212 252 254 282 284	994286767968