Prime p₀= 749186317814779841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 58 2 28 2 28 2 22 2 16 2 (?)
a_n: 0 2 6 8 66 68 96 98 126 128 150 152 168 170
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: 170
Found by: Theadalus
db: batch=73, k=14, 4 58 28 28 22 16

STPT(10)	749185075366468859	0 2 18 20 30 32 42 44 60 62	-1242448310982
SPT(16)	749185162511250427	0 36 132 172 196 286 310 342 364 396 420 510 534 574 670 706	-1155303529414
SPT(16)	749185359082046987	0 2 6 80 86 132 140 156 200 216 224 270 276 350 354 356	-958732732854
SPT(16)	749185396103310389	0 32 42 68 80 104 144 158 264 278 318 342 354 380 390 422	-921711469452
STPT(12)	749185745717655989	0 2 12 14 72 74 150 152 210 212 222 224	-572097123852
SPT(16)	749185892213952847	0 30 54 66 70 82 120 142 174 196 234 246 250 262 286 316	-425600826994
SPT(16)	749186447007126761	0 66 110 120 146 152 168 206 222 260 276 282 308 318 362 428	129192346920
STPT(10)	749186568966851957	0 2 30 32 42 44 54 56 84 86	251152072116
STPT(10)	749186672184203987	0 2 30 32 42 44 54 56 84 86	354369424146
SPT(16)	749186746130252273	0 54 56 60 96 98 126 128 156 158 186 188 224 228 230 284	428315472432
STPT(10)	749186899219763759	0 2 18 20 30 32 42 44 60 62	581404983918