Prime p₀= 1236528587286320759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 148 2 118 2 46 2 16 2 10 2 (?)
a_n: 0 2 72 74 222 224 342 344 390 392 408 410 420 422
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: 422
Found by: vanos0512
db: batch=77, k=14, 70 148 118 46 16 10

SPT(16)	1236527279760710323	0 24 36 46 94 136 144 190 234 280 288 330 378 388 400 424	-1307525610436
SPT(16)	1236527298560989957	0 42 90 126 156 172 190 202 210 222 240 256 286 322 370 412	-1288725330802
STPT(10)	1236527654837808017	0 2 24 26 42 44 60 62 84 86	-932448512742
STPT(10)	1236527698126255349	0 2 42 44 90 92 138 140 180 182	-889160065410
TPT(14)	1236528107950089707	0 2 54 56 102 104 210 212 240 242 264 266 354 356	-479336231052
SPT(16)	1236528300289337609	0 2 38 42 108 144 158 170 192 204 218 254 320 324 360 362	-286996983150
STPT(10)	1236528609301332857	0 2 42 44 72 74 102 104 144 146	22015012098
TPT(14)	1236528830308778441	0 2 30 32 120 122 138 140 180 182 198 200 210 212	243022457682
SPT(16)	1236529258650261203	0 6 36 38 50 68 78 80 246 248 258 276 288 290 320 326	671363940444
SPT(16)	1236529445213876507	0 12 14 24 66 84 96 102 134 140 152 170 212 222 224 236	857927555748
STPT(10)	1236529499562206789	0 2 30 32 60 62 90 92 120 122	912275886030