Prime p₀= 2279010625570770491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 46 2 16 2 10 2 28 2 16 2 (?)
a_n: 0 2 30 32 78 80 96 98 108 110 138 140 156 158
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: 158
Found by: Orange Kid
db: batch=81, k=14, 28 46 16 10 28 16

TPT(14)	2279010175643877437	0 2 12 14 24 26 60 62 114 116 180 182 210 212	-449926893054
SPT(16)	2279010214731288817	0 72 114 130 132 160 174 240 256 322 336 364 366 382 424 496	-410839481674
STPT(10)	2279010224417172359	0 2 42 44 120 122 198 200 240 242	-401153598132
SPT(16)	2279010233161912493	0 36 50 66 74 96 110 140 144 174 188 210 218 234 248 284	-392408857998
SPT(16)	2279010308890245089	0 14 42 48 80 90 92 108 134 150 152 162 194 200 228 242	-316680525402
TPT(14)	2279010332317597007	0 2 42 44 54 56 132 134 150 152 180 182 192 194	-293253173484
SPT(16)	2279010826837314953	0 50 78 104 180 186 194 210 284 300 308 314 390 416 444 494	201266544462
SPT(16)	2279011042468689181	0 6 16 46 72 126 196 240 298 342 412 466 492 522 532 538	416897918690
STPT(10)	2279011139232743687	0 2 30 32 72 74 114 116 144 146	513661973196
SPT(16)	2279011576598583691	0 22 46 88 102 172 190 208 270 288 306 376 390 432 456 478	951027813200
STPT(10)	2279011880535367499	0 2 18 20 30 32 42 44 60 62	1254964597008