Prime p₀= 1540060826062265777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 16 2 40 2 34 2 58 2 (?)
a_n: 0 2 12 14 114 116 132 134 174 176 210 212 270 272
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: 272
Found by: biodoc
db: batch=78, k=14, 10 100 16 40 34 58

SPT(16)	1540060092588557783	0 20 26 50 68 116 146 158 168 180 210 258 276 300 306 326	-733473707994
STPT(12)	1540060199254215677	0 2 24 26 54 56 120 122 150 152 174 176	-626808050100
SPT(16)	1540060506972024943	0 24 54 58 120 154 204 240 244 280 330 364 426 430 460 484	-319090240834
TPT(14)	1540060631651720279	0 2 12 14 48 50 90 92 132 134 180 182 210 212	-194410545498
SPT(16)	1540060653364498207	0 12 22 40 42 46 60 76 96 112 126 130 132 150 160 172	-172697767570
STPT(10)	1540060759150817747	0 2 30 32 42 44 54 56 84 86	-66911448030
TPT(14)	1540061041046309567	0 2 30 32 120 122 144 146 294 296 300 302 324 326	214984043790
SPT(16)	1540061673081677849	0 8 42 50 60 74 162 224 288 350 438 452 462 470 504 512	847019412072
SPT(16)	1540061848040359727	0 42 44 90 102 132 146 150 206 210 224 254 266 312 314 356	1021978093950
TPT(14)	1540061867082958559	0 2 60 62 90 92 132 134 198 200 240 242 432 434	1041020692782
TPT(14)	1540062457282507019	0 2 30 32 78 80 138 140 162 164 168 170 198 200	1631220241242