Prime p₀= 2390281940707554011 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 58 2 70 2 76 2 82 2 (?)
a_n: 0 2 66 68 96 98 156 158 228 230 306 308 390 392
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: 392
Found by: Landjunge
db: batch=81, k=14, 64 28 58 70 76 82

STPT(10)	2390279422838777159	0 2 18 20 30 32 42 44 60 62	-2517868776852
SPT(16)	2390279541820862911	0 22 42 90 102 108 112 120 160 168 172 178 190 238 258 280	-2398886691100
SPT(16)	2390279715061442129	0 14 32 38 72 74 80 92 150 162 168 170 204 210 228 242	-2225646111882
STPT(10)	2390280285464894699	0 2 30 32 60 62 90 92 120 122	-1655242659312
STPT(10)	2390280601675598309	0 2 18 20 30 32 42 44 60 62	-1339031955702
SPT(16)	2390281381923618017	0 32 42 72 84 90 150 174 182 206 266 272 284 314 324 356	-558783935994
TPT(14)	2390281985637367529	0 2 108 110 222 224 318 320 378 380 432 434 450 452	44929813518
SPT(16)	2390282706732304561	0 22 48 106 108 112 118 132 136 150 156 160 162 220 246 268	766024750550
SPT(16)	2390282875664278873	0 6 48 84 94 124 126 130 174 178 180 210 220 256 298 304	934956724862
SPT(16)	2390283125918211283	0 4 34 36 84 174 196 214 246 264 286 376 424 426 456 460	1185210657272
STPT(10)	2390283175473338021	0 2 30 32 60 62 90 92 120 122	1234765784010