Prime p₀= 2379029374193205101 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 70 2 28 2 10 2 (?)
a_n: 0 2 18 20 30 32 96 98 168 170 198 200 210 212
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: Landjunge
db: batch=81, k=14, 16 10 64 70 28 10

SPT(16)	2379028496511853157	0 6 20 144 174 206 222 240 266 284 300 332 362 486 500 506	-877681351944
SPT(16)	2379028874477738003	0 14 26 54 108 140 164 170 174 180 204 236 290 318 330 344	-499715467098
SPT(16)	2379029115076589291	0 8 32 42 60 68 162 170 210 218 312 320 338 348 372 380	-259116615810
SPT(16)	2379029162643231253	0 18 30 58 94 106 154 156 178 180 228 240 276 304 316 334	-211549973848
STPT(10)	2379029272754409797	0 2 30 32 42 44 54 56 84 86	-101438795304
TPT(14)	2379029365418761409	0 2 12 14 72 74 102 104 168 170 210 212 228 230	-8774443692
SPT(16)	2379029624779234711	0 6 12 30 40 42 82 126 172 216 256 258 268 286 292 298	250586029610
STPT(10)	2379029776493651399	0 2 18 20 30 32 42 44 60 62	402300446298
SPT(16)	2379030062598705743	0 24 36 44 50 86 110 156 188 234 258 294 300 308 320 344	688405500642
SPT(16)	2379030626048701711	0 16 102 118 120 126 132 168 220 256 262 268 270 286 372 388	1251855496610
SPT(16)	2379030862053180997	0 30 36 54 60 90 126 180 190 244 280 310 316 334 340 370	1487859975896