Prime p₀= 847905488095772861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 10 2 76 2 22 2 (?)
a_n: 0 2 18 20 30 32 96 98 108 110 186 188 210 212
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: 212
Found by: scrap
db: batch=73, k=14, 16 10 64 10 76 22

SPT(16)	847904501514794897	0 62 66 104 110 134 140 162 164 186 192 216 222 260 264 326	-986580977964
STPT(10)	847904580163294439	0 2 42 44 60 62 78 80 120 122	-907932478422
STPT(10)	847905130378045679	0 2 42 44 60 62 78 80 120 122	-357717727182
SPT(16)	847905240853688873	0 14 30 38 48 50 78 150 224 296 324 326 336 344 360 374	-247242083988
STPT(12)	847905360471475049	0 2 30 32 78 80 120 122 168 170 198 200	-127624297812
STPT(10)	847905384080746877	0 2 12 14 72 74 132 134 144 146	-104015025984
STPT(10)	847905570566785847	0 2 30 32 42 44 54 56 84 86	82471012986
STPT(10)	847905614155013987	0 2 60 62 72 74 84 86 144 146	126059241126
SPT(16)	847905948379854787	0 22 24 40 64 82 100 132 142 174 192 210 234 250 252 274	460284081926
STPT(12)	847906034095930919	0 2 30 32 42 44 90 92 102 104 132 134	546000158058
SPT(16)	847906083702434413	0 18 46 48 88 90 156 174 220 238 304 306 346 348 376 394	595606661552