Prime p₀= 912811443864704381 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 154 2 22 2 46 2 28 2 160 2 124 2 (?)
a_n: 0 2 156 158 180 182 228 230 258 260 420 422 546 548
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: 548
Found by: [SG]FX
db: batch=76, k=14, 154 22 46 28 160 124

SPT(16)	912810580412543011	0 12 28 36 40 108 148 162 166 180 220 288 292 300 316 328	-863452161370
SPT(16)	912810672566713033	0 46 58 60 78 94 136 138 196 198 240 256 274 276 288 334	-771297991348
SPT(16)	912810920177068763	0 6 26 30 104 134 140 156 158 174 180 210 284 288 308 314	-523687635618
SPT(16)	912811064506252031	0 66 156 186 200 242 248 288 290 330 336 378 392 422 512 578	-379358452350
STPT(10)	912811366119108527	0 2 30 32 42 44 54 56 84 86	-77745595854
STPT(10)	912811406672589131	0 2 36 38 78 80 120 122 156 158	-37192115250
SPT(16)	912811687222826873	0 30 56 66 108 128 140 144 170 174 186 206 248 258 284 314	243358122492
STPT(12)	912811851230138357	0 2 12 14 24 26 210 212 222 224 234 236	407365433976
SPT(16)	912812298668712443	0 8 44 50 56 84 126 144 260 278 320 348 354 360 396 404	854804008062
STPT(10)	912812320592619917	0 2 30 32 42 44 54 56 84 86	876727915536
STPT(10)	912812523061330649	0 2 18 20 30 32 42 44 60 62	1079196626268