Prime p₀= 2302293752350867601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 166 2 40 2 10 2 58 2 4 2 (?)
a_n: 0 2 18 20 186 188 228 230 240 242 300 302 306 308
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: 308
Found by: FritzB
db: batch=81, k=14, 16 166 40 10 58 4

TPT(14)	2302291704986482421	0 2 78 80 90 92 168 170 240 242 300 302 330 332	-2047364385180
SPT(16)	2302291972158296021	0 102 120 140 150 182 192 308 330 446 456 488 498 518 536 638	-1780192571580
STPT(10)	2302292271005714129	0 2 18 20 30 32 42 44 60 62	-1481345153472
SPT(16)	2302292848428008003	0 8 18 68 144 164 176 200 204 228 240 260 336 386 396 404	-903922859598
STPT(10)	2302293187439958257	0 2 30 32 42 44 54 56 84 86	-564910909344
SPT(16)	2302293705188387789	0 42 62 90 92 128 152 212 228 288 312 348 350 378 398 440	-47162479812
SPT(16)	2302293762554217073	0 10 46 78 88 96 120 126 130 136 160 168 178 210 246 256	10203349472
SPT(16)	2302294427428145327	0 2 14 24 42 62 132 162 254 284 354 374 392 402 414 416	675077277726
STPT(10)	2302294627759905041	0 2 6 8 48 50 90 92 96 98	875409037440
STPT(10)	2302294705125203051	0 2 6 8 48 50 90 92 96 98	952774335450
SPT(16)	2302294842285595519	0 90 94 112 148 174 190 192 220 222 238 264 300 318 322 412	1089934727918