Prime p₀= 784666356912210161 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 178 2 76 2 28 2 82 2 46 2 (?)
a_n: 0 2 48 50 228 230 306 308 336 338 420 422 468 470
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: 470
Found by: declis
db: batch=73, k=14, 46 178 76 28 82 46

SPT(16)	784664625053470429	0 10 30 52 108 118 132 142 168 178 192 202 258 280 300 310	-1731858739732
SPT(16)	784664635741433911	0 6 22 36 46 58 60 88 90 118 120 132 142 156 172 178	-1721170776250
SPT(16)	784664676881391863	0 18 20 50 120 176 188 200 204 216 228 284 354 384 386 404	-1680030818298
SPT(16)	784664934026007289	0 72 84 112 142 202 210 244 258 292 300 360 390 418 430 502	-1422886202872
STPT(10)	784665142444485899	0 2 42 44 60 62 78 80 120 122	-1214467724262
STPT(10)	784666309692598181	0 2 30 32 60 62 90 92 120 122	-47219611980
TPT(14)	784666395340407719	0 2 12 14 42 44 60 62 72 74 102 104 198 200	38428197558
SPT(16)	784666444324226077	0 64 66 76 102 132 190 202 204 216 274 304 330 340 342 406	87412015916
STPT(10)	784666497812838227	0 2 30 32 72 74 114 116 144 146	140900628066
STPT(10)	784666509297527951	0 2 6 8 48 50 90 92 96 98	152385317790
STPT(10)	784666537210762931	0 2 6 8 48 50 90 92 96 98	180298552770