Prime p₀= 806870170144800479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 10 2 64 2 142 2 94 2 (?)
a_n: 0 2 18 20 90 92 102 104 168 170 312 314 408 410
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: 410
Found by: amazing
db: batch=73, k=14, 16 70 10 64 142 94

SPT(16)	806869272280816573	0 48 58 70 118 124 148 184 264 300 324 330 378 390 400 448	-897863983906
SPT(16)	806869288453980683	0 50 54 84 98 110 114 116 138 140 144 156 170 200 204 254	-881690819796
STPT(10)	806869433063770157	0 2 12 14 72 74 132 134 144 146	-737081030322
TPT(14)	806869438739141801	0 2 36 38 48 50 210 212 240 242 258 260 270 272	-731405658678
TPT(14)	806869543087388147	0 2 42 44 90 92 132 134 162 164 204 206 210 212	-627057412332
SPT(16)	806869556665553383	0 18 34 48 94 100 136 156 298 318 354 360 406 420 436 454	-613479247096
SPT(16)	806870204171250377	0 6 30 42 132 146 162 170 342 350 366 380 470 482 506 512	34026449898
STPT(10)	806870295125852897	0 2 30 32 60 62 90 92 120 122	124981052418
STPT(10)	806870357600624267	0 2 30 32 42 44 54 56 84 86	187455823788
STPT(10)	806870495606897399	0 2 18 20 30 32 42 44 60 62	325462096920
STPT(10)	806870497566137747	0 2 30 32 42 44 54 56 84 86	327421337268