Prime p₀= 4364196235550233391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 16 2 10 2 16 2 88 2 (?)
a_n: 0 2 78 80 108 110 126 128 138 140 156 158 246 248
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: 248
Found by: arkiss
db: batch=85, k=14, 76 28 16 10 16 88

SPT(16)	4364193762838933489	0 4 60 88 112 142 148 198 214 264 270 300 324 352 408 412	-2472711299902
SPT(16)	4364194839641582227	0 22 36 42 94 112 132 156 190 214 234 252 304 310 324 346	-1395908651164
SPT(16)	4364195024562197989	0 28 72 82 168 178 202 220 222 240 264 274 360 370 414 442	-1210988035402
TPT(14)	4364195385503353637	0 2 54 56 84 86 150 152 240 242 282 284 354 356	-850046879754
STPT(10)	4364195543832995639	0 2 18 20 30 32 42 44 60 62	-691717237752
SPT(16)	4364195951717409503	0 20 38 78 90 138 156 176 210 230 248 296 308 348 366 386	-283832823888
STPT(10)	4364196322532022659	0 2 48 50 90 92 132 134 180 182	86981789268
SPT(16)	4364196509582259001	0 12 22 36 70 72 82 100 108 126 136 138 172 186 196 208	274032025610
SPT(16)	4364196586264751879	0 18 38 44 54 144 224 258 290 324 404 494 504 510 530 548	350714518488
TPT(14)	4364197398756033581	0 2 30 32 78 80 120 122 138 140 276 278 348 350	1163205800190
STPT(10)	4364197548493069871	0 2 78 80 108 110 138 140 216 218	1312942836480