Prime p₀= 4364195385503353637 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 64 2 88 2 40 2 70 2 (?)
a_n: 0 2 54 56 84 86 150 152 240 242 282 284 354 356
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: 356
Found by: arkiss
db: batch=85, k=14, 52 28 64 88 40 70

SPT(16)	4364191908322923641	0 2 86 98 108 110 128 138 200 210 228 230 240 252 336 338	-3477180429996
STPT(10)	4364192873029474151	0 2 6 8 18 20 30 32 36 38	-2512473879486
SPT(16)	4364193386647240723	0 24 30 66 78 106 120 126 148 154 168 196 208 244 250 274	-1998856112914
SPT(16)	4364193762838933489	0 4 60 88 112 142 148 198 214 264 270 300 324 352 408 412	-1622664420148
SPT(16)	4364194839641582227	0 22 36 42 94 112 132 156 190 214 234 252 304 310 324 346	-545861771410
SPT(16)	4364195024562197989	0 28 72 82 168 178 202 220 222 240 264 274 360 370 414 442	-360941155648
STPT(10)	4364195543832995639	0 2 18 20 30 32 42 44 60 62	158329642002
SPT(16)	4364195951717409503	0 20 38 78 90 138 156 176 210 230 248 296 308 348 366 386	566214055866
TPT(14)	4364196235550233391	0 2 78 80 108 110 126 128 138 140 156 158 246 248	850046879754
STPT(10)	4364196322532022659	0 2 48 50 90 92 132 134 180 182	937028669022
SPT(16)	4364196509582259001	0 12 22 36 70 72 82 100 108 126 136 138 172 186 196 208	1124078905364