Prime p₀= 784666395340407719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 16 2 10 2 28 2 94 2 (?)
a_n: 0 2 12 14 42 44 60 62 72 74 102 104 198 200
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: 200
Found by: declis
db: batch=73, k=14, 10 28 16 10 28 94

SPT(16)	784664635741433911	0 6 22 36 46 58 60 88 90 118 120 132 142 156 172 178	-1759598973808
SPT(16)	784664676881391863	0 18 20 50 120 176 188 200 204 216 228 284 354 384 386 404	-1718459015856
SPT(16)	784664934026007289	0 72 84 112 142 202 210 244 258 292 300 360 390 418 430 502	-1461314400430
STPT(10)	784665142444485899	0 2 42 44 60 62 78 80 120 122	-1252895921820
STPT(10)	784666309692598181	0 2 30 32 60 62 90 92 120 122	-85647809538
TPT(14)	784666356912210161	0 2 48 50 228 230 306 308 336 338 420 422 468 470	-38428197558
SPT(16)	784666444324226077	0 64 66 76 102 132 190 202 204 216 274 304 330 340 342 406	48983818358
STPT(10)	784666497812838227	0 2 30 32 72 74 114 116 144 146	102472430508
STPT(10)	784666509297527951	0 2 6 8 48 50 90 92 96 98	113957120232
STPT(10)	784666537210762931	0 2 6 8 48 50 90 92 96 98	141870355212
SPT(16)	784666610920299529	0 24 28 70 78 90 94 100 168 174 178 190 198 240 244 268	215579891810