Prime p₀= 2179049258140330151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 136 2 28 2 70 2 28 2 64 2 (?)
a_n: 0 2 30 32 168 170 198 200 270 272 300 302 366 368
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: 368
Found by: JayPi
db: batch=81, k=14, 28 136 28 70 28 64

SPT(16)	2179047830129334547	0 36 54 70 76 94 136 144 196 204 246 264 270 286 304 340	-1428010995604
SPT(16)	2179048109042155411	0 12 46 78 100 126 130 142 186 198 202 228 250 282 316 328	-1149098174740
STPT(10)	2179048163894298041	0 2 36 38 78 80 120 122 156 158	-1094246032110
SPT(16)	2179048192514811979	0 34 54 100 160 174 184 204 208 228 238 252 312 358 378 412	-1065625518172
STPT(10)	2179048281010088627	0 2 42 44 72 74 102 104 144 146	-977130241524
SPT(16)	2179049208905633579	0 20 60 62 110 140 152 210 242 300 312 342 390 392 432 452	-49234696572
STPT(10)	2179049358546956837	0 2 30 32 42 44 54 56 84 86	100406626686
STPT(10)	2179049387968316177	0 2 30 32 72 74 114 116 144 146	129827986026
STPT(10)	2179049392951282739	0 2 18 20 30 32 42 44 60 62	134810952588
SPT(16)	2179049506019084033	0 48 54 60 74 108 170 206 258 294 356 390 404 410 416 464	247878753882
SPT(16)	2179050001935905069	0 38 48 90 104 114 140 180 182 222 248 258 272 314 324 362	743795574918